 Cool. We should be coming out live. And there we are. Nice, nice. Hi everyone. This is Gijo. Welcome to my channel and welcome to another live stream. Today, today is September 27th, a Monday afternoon, 2 p.m., 2021. And we're doing a live stream, dropping math tutoring session, number number 76 or so. At least 76 or so. Open discussion. Let's do a little bit of mathematics, which is something that we desperately, desperately need in our societies. We got to get people thinking critically. Very, very important, especially during the period that we're in right now, which is basically a collapsing centralized education system that has been happening. Slow progression, really. Slow collapse for those of us that are involved in it. For the last 20 years, at least. Kicked into high gear about 10 years ago, 5 years ago, and basically the final nail in the coffin was put in in the last couple of years. So there are people in desperate need of help with mathematics. And that's what we're making our time here for. All the plopless, 1, 3, 2, 1. Good afternoon. Good afternoon. Hope you're doing well. Welcome, welcome to another live stream. Defasit, how are you doing? How's life? Welcome, welcome. Mathematics is back. Our first one for this year. I was planning on starting earlier, but I got overwhelmed with the number of students at the beginning of this year that needed help. Like I said, I'm in Canada, and education system has here completely collapsed. Long time. I mean, you're a new dad. Happy, happy dad. Happy, happy parenting. My God. Boy or girl, boy or girl. And what's their name? I've been, I'm assuming you're sleep deprived, yes? Most parents, new parents, man. I've seen some parents. Some parents are okay. The kid sleeps like 10 hours a night and they're like, oh, no problem. Some parents have seen their hair is all fizzy. Their eyes are like this. And they lack of sleep for like three, four months. And God forbid if they get like babies get colic, the mouth. Oh my God. Girl, Olivia, awesome. Was okay for four months. Now, sorry, I'm laughing, brother, but it just cracks me up. It's cracked me up. I always see the faces of friends and family that I've seen that are going through a period where the baby's crying a lot. It's just, they're like, Ronnie, how are you doing? Glad to be here early. Awesome. Glad to have you, Ronnie. Not Meg. Hello, hello. How are you doing? Cheryl, how's life? How's life? Gang, well, way for people to roll in and notifications to go out. If you want to know what this work is about, this is the core of what my work is about, which is mathematics. I know if we've gone, expanded through multiple branches of things, many of them that have already been overlaid with mathematics. Some of them have not yet, but they will be. Okay, but the core, the essence of why I'm here and why I'm doing this is mathematics and you can follow the work on Patreon. Okay, if you want to support this work, if you want to know what this work is about, Patreon is a great way to do so. I don't put a thing behind paywall. Everything's creative, Collins. Share and share all like, and for those of you that are supporting this work on Patreon, gang, some of you for a number of years now, since day one. Thank you very much for the support. I appreciate it very much and I know many other people do as well, just from the feedback I've gotten regarding the work we've done online. As well as a huge thank you to the people that are supporting us on Twitch, for those following, for those subbing, for those that are here participating in the discussion and the mods for taking care of business. Warm and loose. Hello, hello. I know good at math. You might be better than you think. You might be better than you think. The faucet. I look older than a two-year-old, two-year-old politician, brother. I look older than two years as a politician. Funny, funny. Cheryl to faucet. Oh, good times. The cries go from, oh, I need something to full-ass siren about that time. It will pass. It will pass. It will pass. Cheryl, as Cheryl says, it will pass. And enjoy the little, the baby period. Man, amazing, amazing, amazing. When a little, little baby reaches up and grabs your nose and goes like this. Or if you have facial hair, grabs your facial hair and just, man, amazing, amazing, amazing. Thank you, faucet says. Not me. Cheecho, your voice is so relaxing. Oh, I'm glad, brother or sister, of course. We need relaxing in our times, but we do get rattled sometimes on a daily basis. So it's good to calm down and talk about the essence of life, right? And G, how are you doing? Plus, minus, divide. Where is the multiplication at? Faucet, so my wife, due to your podcast, is now resetting her GCSE math. UK, thank you so much for your input. Awesome, awesome. More power to you, more power to you. Not me, sister. Thank you, thank you. I'll try to remember, I'll try to remember the faucet. She would grab your beard. Yeah, I can have babies. I've had a lot of children in my life. I've helped raise some and stuff, right? Kids, one of the first things they love, they love the facial hair. And they're like, oh, look at this. I got something I could hold on to, let's pull it. And there's a saying in Armenian that says, a baby's grip will choke a snake. It's such a tight grip, right? There are actually people that, I forget this is a long time ago, I looked into it. They will get babies to hold on to a rod and then they'll hang them. The kid is just hanging on to a rod. It's super cool. It's super cool. Sleepy waves, how are you doing? First stream, I have been able to catch this weekend. How many, how was yesterday's? Yesterday's stream was good, sleepy waves. But I really enjoyed the patio stream. I really enjoyed the patio stream, man. But I think we need another current man's life stream. I need to vent a little, maybe. Blake, I, T. Blake, I, Blake it, Blake it, Blake it, 67. What are you, what are you doing, step bro? What are you doing, step bro? I'm doing mathematics. I'm here to answer mathematics. Yes, Navan. Thank you, man, for helping the community amongst all the chaos in Twitch and the degenerate things happening. This is like a nice place to relax and awesome. I'm glad and I need it as well, man. I need it as well. Really, this is an out, sort of a way for me to, you know, relieve pressure building up and do my part to try to improve our societies because we need it. We need it. Vasa, baby's grip with a choke your dream. I was not expecting that. Too funny, too funny. No name boy, how are we doing? You make my eyes like watery, man. So funny. No name boy for Ticho. Will you ever do more music album reviews and videos format like the ones you did about Russia, for sure, man, for sure. Russia's 2112, I really enjoyed that video. Yeah, I would love to, man. I just, we just got overwhelmed with what's going on in the last two years. And I just needed to, and I still need to do my part to make sure I stand on the right side of history because this content is out there, right? Some people might not appreciate what we're doing right now. Some people might. Okay, but I can, I can guarantee you. I can guarantee you just the way I, some of the content I created in the last 15 years and 15 years ago, I was getting a lot of flak from saying some of the things I was saying, even 20 years ago when, before I was blogging, I started blogging like 16 years ago or so, right? I was getting a lot of flak, people, ba, ba, ba, trash talking and stuff like this. I can guarantee you, I can guarantee you 10, 15 years from now, as long as our content hasn't been removed from the net. People will look back at some of the stuff that we've been creating and they will watch, read and listen in awe of what was going on. And it will be a testament to history and we have to make sure we're on the right side of history. So once the storm passes, I will 100% go back to doing some of that stuff. I actually had one laid out to do for tool. I don't know if you listen to tool, but I had one laid out to do for tool, but I haven't had the time to take the outline that I created to layer it with the mathematics that is required to analyze tools, music. Okay, but we will. And of course, I want to do one for Boney M. Cosmic visions. Hello, hello, Cosmic Visions. How are you doing? I've seen Mike. What's up, guys? How are you doing? Joe Ciccio, I have a strange question about squares. Oh, what's your question? Some squares are pretty good. Some squares really suck. Don't fuss it. In all seriousness, I'm here for the meditation you provide. You may not even mean it, but you provide a calm through people do. I hope people relate. I hope so too. And this is sort of the, and just to let you know, this is the way I communicate with my students because for, hello, Mr. Brangfries, how are you doing? Because when people are relaxed, calm, happy, laughing, enjoying the space that they're in, they learn better. That's you. That's me. That's all of humanity, right? So I try to create a nice space for a nice vibe to learn, to share information, right? You're a cool guy. Thanks. Oh, yeah. I do announce these live streams. Thurmus, Perugl, Live on Mines, VK, Gab, Parler, BitCloud, and Getter, free speech, social platforms. Any social platforms that censor information, censor your speech, dump on their garbage. Thank you very much for the tier one sub-facet. And we do have a Discord page. This, you can come to our chat anytime you want in Twitch and type in exclamation mark Discord and a little link will pop up and that's your invite to our Discord server. There's people sharing a lot of information there, me included, and participating in discussion. You're definitely welcome to join us there and the links will be in the description of this video once this video has been loaded on to the different video sharing platforms that we load information on. For live streams where we don't have any visuals, the audio portion of those live streams is being uploaded to SoundCloud.com or slash Chicho as a podcast. And those podcasts should be available in your favorite podcasting platform, including Spotify, iTunes, and Google Play. And we will be uploading this live stream to censorTube, to Bitshoot, to Rumble, to Odyssey. If you want to follow all of our content, Bitshoot, Rumble, and Odyssey is where you want to be because those are our free speech platforms that we load on everything. On censorTube, everything does not go on there, okay? And less and less content is being loaded on there on a weekly, monthly, and yearly basis. So it'd be less and less content. For example, last few days, I've, you know, a couple of days ago I loaded up seven videos to Bitshoot, Rumble, and Odyssey and only one made it to censorTube. Today I'm loading on six videos, short segments on Bitshoot, Rumble, and Odyssey and only two is going to go on censorTube. In the last month, we've uploaded a ton of content on those platforms that we have not uploaded to censorTube. So that's where you want to be. And again, thank you very much for all the support that we get from all of these platforms. Fawzi, thank you very much for gifting a sub to your one sub to Warm and Loose. Let me take these guys down. I'm going to get caught up with the chat. Get the intro out of the way. Slippery way, Chicho, how does math dictate music? Dictate music. Can you show some math examples on the most basic? I can show you basic, some of the drumming stuff. No name boy. Yeah, Tool is awesome. Chizum probably has one of the greatest bass lines of all time in my opinion. Chizum's made, I haven't, I haven't heard one Tool song that I don't like and I can't say that about too many bands. Pond dogs and pay, send pay. Pond dogs, Pond dogs and pay. Pond. Did you discover ASMR after you turned around from explaining quadratics on the whiteboard and have your students towards you? No, I actually discovered ASMR, what ASMR was from combing my beard. I have a Chicho, if you do Chicho combing beard and from an article I read and that was the first ASMR video I loaded up. I put shares on rumble. Fawzi, I'll shut up now. Nice. And gang, don't forget, ridiculously important, Free Assange, Free Assange, Free Assange, Julien Assange is a publisher and journalist that has been crucified for trying to bring transparency and accountability of capitalist power to humanity. For more information, see wikileaks.org, defend.wikileaks.org or Julien Assange and WikiLeaks playlist on censored tube. Oh man, Tool Tool, Joe. I've seen him live, phenomenal. Joe Chicho, I believe it's mathematically impossible to tune a piano accurately, is it? Well, the perfect harmonics are, that's exactly what they are. Mathematics provides models for us what something perfect would be, like the normal distribution, the perfect normal distribution, but there is no such thing as a perfect normal distribution. That only occurs in mathematical models or mathematical functions, I guess, right? See for yourself, can you do some math in regard to drumming then? Ha ha, that's exactly what it was gonna do because I learned drumming through notes. I'm one of the few people that I know that I learned how to drum through notes. I didn't have a year for it. I didn't have natural talent, drumming natural talent. So I hired a drum teacher back in the 80s when I was in high school or my parents did anyway. That was a deal I cut with them, right? You won't tell you the deal I cut with them. Here's how I got into drumming. Okay, here's how I got into drumming. When I was in high school, I was in grade, I don't know, what was I in? I was in grade nine or 10 or something like this. And my parents said, you have to learn an instrument. I said, okay, drums. And they said, no. I said, what the hell? You guys told me I have to learn an instrument. So I'm picking drums. They said, no, not drums. I go, no, that's my instrument. They go, okay, we'll make you a deal. Take piano for a year. And if you take piano for a year and then if you want drums, we'll get you drums. I said, okay, Gicho holds on to his deals. I like making deals, right? So I, because my other siblings were taking piano and guitar and stuff like this. So I went to this piano teacher, old lady, old lady English style, very formal. So I took piano for a year after a year to the day. Sat there, finished my lesson and the teacher goes, oh, good job, good job. I go, okay, thank you Mrs. I forget her name is. Thank you Mrs. Whatever for teaching me piano for a year. This will be my last session. She's like, what? I go, yeah, I made a deal with my parents that after a year I'm going to take drums and I want to start playing drums. And she goes, what? I go, yeah, thank you. I appreciate it. She goes, but piano is a foundation. You can do everything you can. It's got the chords. It's got this, it's got this, it's got this. I go, yeah, but I want to play drums. So thank you very much. And I, and it was in a private residence. So, you know, I left and I went through the car and I said, okay, mom, great. Let's go get the, you know, we got to go get the drum set. She's like, what? I say, we made a deal and I just told the teacher that this was my last lesson. She's like, what? I go, you guys told me that was a deal. That was the deal. That's it. No ifs, no buts, no nothing. Right. So we ended up getting the drums and when I started getting drums, I couldn't do like the rhythm on drums. This has got to go like this. This has got to do a different, different thing. This does a different thing. This does a different thing. All right. So I was trying to do this. I'm like, what the hell is going on? And we hired a drum tutor, teacher, music teacher. And he came in and he taught it to me with notes and I learned notes and he turned to me once after like two years of taking lessons with him. He goes, Chicho, I have another student that has natural abilities that are crazy. He could be one of the greatest drummers in the world if he practiced. Okay. He goes, if he practiced as much as you practice, he would be one of the greatest drummers in the world right now. And he turned to me and said, Chicho, you don't have natural talent for drumming, but you practice. I write down, he goes, you practice like no one else I've ever seen before. I go, well, thanks. I would practice until my things bled, right? My callus, hard callus, right? And I learned it from notes and I'll show you, okay? That's my story of, I think I told a shorter version of it a couple of years ago, that's my story of learning how to play drums. And we're going to do a little bit of mathematics. I'll show it to you, okay? What it is like notes wise, seven, eight, four, four or whatnot, okay? Let me get caught out with the chat. That was a rant and a half. Lonely piggy, how you doing? Lonely piggy. I got pasta. I need comfort food. I made pasta with nutritional yeast, little bit of brags, dried mint that I dried myself and a little bit of coconut oil and sesame seed oil. Fantastic. Happy. Fawcett, would you please do a music conversation? We do music lyrics, Fawcett. We read music lyrics, which are amazing. Hedgie, I think our music stream has fallen in the abyss, I know. But Chicho has more important things to do at the moment. Yeah, we've got to take care of that stuff. Hedgie knows. And some people know that, like I've been working my ass off I'm going crazy putting out these video segments and stuff. So I'm going on 150% capacity right now. Okay, Rumble has shares. That's interesting. Cool. So Rumble video thing has shares. The links, yeah, you can grab the links. I think that's what it is. Joe, Chicho, I saw a video about it a while ago. I'll try and find it and post it in Discord. If I remember correctly, it's something about the square root of two showing up, which is, of course, or irrational number. Square root of two showing up in what? I believe in mathematics possible to tune a piano correctly. Okay. So it's an irrational number and you're never able to hit it. That's probably related because of Pi as well, because Pi is irrational. The waves for tuning something are, you know, I forget the names, what are these called? This is one wave. I knew this at some point, right? And then you can harmonics, right? You can do this and then you can have a quarter of an octave or something like this. I forget what these things are called, right? Like this would go, so this would be that and then you could have the half and whatnot. I came across some of the stuff with reading about Tesla as well, which is amazing. Maybe a lyric stream with lyrics that apply to the problems that the world is facing right now, laughs and rage against the machine. And NWA and Tupac and Biggie and the big pun and big L and immortal technique and so many and dead press. I miss so many streams. That's sad. Let's go void. How are you doing? Hadgy. Mmm, bad drums. The floss. The stream totally needs some musicians feet. This should surprise me, but it doesn't. Cheryl. Hadgy. Hadgy. That was the day Chicho was born. Ha ha. You should have seen it, man. Greatest drummer. Ginger Baker. Ginger Baker. Ginger Baker. He doesn't ring the bell. Ginger Baker. Who is he playing with? He's old school. Ginger Baker, you say he's the greatest drummer? Was he playing with the trumpet guy? The trumpet guy. Armstrong. Louis Armstrong. Did he play with Rue Armstrong? Oh, Ginger Baker with cream. Really? No. I can't even play the triangle. Hadgy. How are you today? Doing good, birdie daddy. Ginger Baker. Cream. Really? I used to listen to cream, but I didn't. I got to give cream another shot. Cream was Eric Clapton guitar. So Eric Clapton was guitar. Ginger Baker was drums. Better than Keith Moon. Yeah, Keith Moon was really good. But like for me. Neil Perth would be one of my top drummers in the world. Right? Yeah, it's G. It was Eric Clapton and huge respect to Eric Clapton. In the last couple of months, two, three months, right? Eric Clapton has come out and did some stuff, said some stuff. And my respect for him, Eric Clapton, I had huge respect for Eric Clapton, right? For his music. I didn't know too much about his politics. I knew about his life a little bit, so huge respect on that front. But man, huge respect for him standing tall. All right? One of my favorite. Steve Gad. Cool, cool. Help me with Pythagoras. For sure, John. We do. Steve Gad. My uncle. I am Chris Gad. Steve Gad. Oh, dude, you got to... Okay, I got to link this up. My favorite. So, wait a second. If you're on Discord, link us up, okay? Joe, okay. He's the regular question. I hope this makes sense. He's the rectangle question. He's the rectangle question. Listen to white room and sunshine of your life. Really, from cream. I know those tracks, but I haven't listened to them for 25 years or so. Not make to faucet. Are you serious? So, Steve Gad. I got to look that up. I can't fit it into one post, so I'll have to post it over a couple. Okay. Steve Gad did some drumming for Paul Simon. No way. I love Paul Simon. Did he do the one where he went to South Africa to record? I forget what the album is called, but the diamonds and the heel and my shoes and stuff like this. Oh, Joe. Look at the question. I've noticed that when we are finding areas in geometry, the area of a rectangle is fundamental to finding the area of other shapes. Yes. Triangles are half a square. Yes. When we find the areas of other shapes such as hexagon and heptagon, we split the shapes into triangles and find the area by adding the areas of all the triangles the same with circles. Circle is a little different. You've got to do the limit with circles. When you want the area under a curve, you can use an infinite number of rectangles. Yes. Under the curve, when we derive the area of shapes, squares, rectangles, all we show up. Yes. So what about the area of a rectangle? What about the area of a rectangle? How do we drive the formula for the area of a rectangle being area equals side times side? We never see the formula for the area of a rectangle being derived or discussed. It's just stated and taken to be true. Is it just taken to be self-evident, axonomic, or is there a way to derive the formula? You derive the formula from the area of a triangle. Area of a rectangle is twice the area of a triangle. That's where you get it. John Bonham fans. Yes. John Bonham. Led Zeppelin died a little too early. John Bonham was amazing, by the way. So here's a joke. Slippy ways. By the way, I haven't forgotten the music thing. But here's a triangle, right? Now, triangle doesn't have to be Isozi's triangle. If you have a triangle with two sides the same, right? If this is the same as this, you just mirror this along here. You get the same thing. It's a right angle triangle, and that's a square. So it's x times x, right? But a triangle doesn't have to be Isozi's triangle. Here's a triangle. And the area of a triangle is one half base times height, right? So for a square, the base and the height are just x, right? So this would be 1 over 2 x times x, so it's equal to x over 2. And if you have two of them to get the square, you double this. So area of a square is equal to 2 times the area of a triangle, which is equal to 2 times x squared over 2, which is equal to x squared, right? That's the area of a square. Well, area of a rectangle, here's x, or let's call it base times height, or x and y. Let's call it x and y. Well, area of this triangle is the same area, same as this. One half base times height, which is equal to one half x times y, which is equal to xy over 2. Well, mirror this, flip it, you get this, right? Is that proportionate? This looks bigger. Let me do it. This is my drawing, it looks more legit. So if you do this, then that plus that is 2 times that. So the area of this rectangle, so this is the area of this triangle, and the area of the whole rectangle is area of the rectangle is equal to area of the triangle times 2. Well area of the triangle is x over y, x times y over 2 times 2, 2 kills 2, which is just x times y. So area of a rectangle is base times height. Is that, I mean, that's assuming we know what the area of a triangle is. How do we come up with the area of a triangle? I don't know, I haven't looked into the proof of it yet. I've probably had in the past, but I can't remember how we go about it, right? Jo Chichou basically, how do we drive the area of a rectangle? That's the area of a rectangle. I hope that makes sense. The concert in the park, I believe, it was in New York. Also on 50 ways to leave your lover. He played with Bee Gees. Who played with Bee Gees? John Bottom? Play with Bee Gees? No. Hold on, who played with Bee Gees? I missed the conversation. No name boy. I love the Bee Gees. Pleased to meet you. Kyle M. Parker Chichou. Thank you for telling us the truth about how our government manipulates us and controls information. My pleasure. Just sharing what I can, what I believe I know. Also an album, not sure how to say it, Jo Chichou. But isn't the area of a rectangle derived from a triangle derived from a rectangle? Is the area of a rectangle? I don't know. You could go this way or that way. They're both the same way. So sure, you could start here and drive that. So you know what? I don't know what the proof is. I can explain it to you visually. Here, let me explain it to you visually. Sleepywavers, are you still okay with us hitting up the music and math after we do this? Let me show you this. Okay. Let me erase this. This is my intro to geometry when I give people. Right? Now watch this. Watch this. Let me get caught up with Chad. Let me get caught up with Chad, just in case. I like wrapped around with the concert that Paul Simon did with the one in South Africa. It was sure. It sure was Jo Chichou. So how do we derive the area of a rectangle? Okay, Steve Gad played with the Bee Gees. Steve Gad played with the Bee Gees. Nice. So wait a second. Wait a faucet. That's your uncle? You're a Gad? Are you serious? I love the Bee Gees. Andy Gibb. Oh, sad, sad. I love the Bee Gees and Andy Gibb. Really, I used to listen to them a lot and I still do. Not a lot, but every now and then, if I want happy music, man. The Bee Gees is it. Bee Gees is one of the greatest Jo Chichou. Doesn't the proof of an area of a triangle come from proving that all triangles are half a rectangle? Let's check it out, Jo. Check it out. Okay, here is a quick introduction to geometry. I always thought that the rectangle was a fundamental shape and everything else in geometry is derived from them. I don't know. I always use the triangle as a fundamental shape because polygons you get from the area of a triangle. Let me give you my intro that I give to people in regards to geometry, where I try to explain to them what length, area, and volume are. If you're thinking about geometry, and we're talking about Euclidean geometry, flat surface geometry, to a certain degree, you can talk about spheres as well, but the formulas change a little bit. But let's do this. Okay. What do you call this? Ready? What do you call that? What do you call that? That point that really doesn't have any area. It's just a point in space. A point, exactly. We call this a point. Now a point in space. It's not really a dot. It's not a sphere. It's a point. It's a marker. A marker in space has zero dimensions. Zero D, right? No dimensions to it. It's just a point in space, right? Now take this point, right? Take this point and stretch it, or take your pen and draw on it. What do you call this? What do you call this? A line, exactly. We call this a line. Now a line is one plane, right? So it's one D, one dimension, right? One D, right? And one dimension means it's got a unit. It's got a unit. Okay. Now, if it's got a unit, it all depends what you measure with. Right? What your units you like measuring with? It could be a pond, funny. It could be meters. It could be feet. It could be inches. It's length, right? She's laughing. So we could call this the unit would be meters, feet, inches, centimeters, kilometers, miles, yards, whatever you want to call it, right? That's the dimension. It's a line. It's a length, right? Length. Now take that point, right? Draw a line or stretch your point across, right? And then take this line. Hopefully it was a straight line. This doesn't look too straight. Take this line and stretch it up, right? So pan it up. When you pan it up in mathematics, what that means is you multiply it, stretch. You got to cover this whole thing going up, right? What do you call this thing? What do you call this thing? Right? There's multiple words for it, right? Surface, surface. It's a surface, right? So if this was length x, this was length x, and this is length y, we have two dimensions that we're going. For us to go figure out what the surface or what the area of this thing is, we take this and multiply it by this, and this is two directions, so it's two-dimensional, right? 2D. And when you have two-dimensional, you're not just meters and feet and inches and centimeters or kilometers or miles, you're meters squared, feet squared, inches squared. You're multiplying a unit with a unit, and if you multiply two identical things, it's just squared, right? So this would be meters squared, feet squared, inches squared, centimeters squared, whatever it is, squared, right? Now take this point, stretch it into a line, take your line, pan this line up, you get your surface. Now take the surface and push it either out of the page or into the page, right? Just go push it in, right? So there is our x, there is our y, and this is sort of depth, and we can call this z, if you want. What do you call this? What do you call this? Volume, volume, surface, volume, right? Volume, that's more related to that. Volume, is there another word we could say? Volume, 3D, 3D, it's got three directions, 3D. And if you're going to measure something, you're going to measure things in the same unit, maybe feet, meters, feet, inches, centimeters, kilometers, miles, you multiply the same unit multiple times together, it's cubed, right? So this is meters cubed, feet cubed, inches cubed, centimeters cubed, right? And what type of world do we live in? You take your three dimensions that we exist in right now, right? Add time, okay, or multiply with time, you get 4D, which is us. We live in a four-dimensional world, right? Three spatial dimension and we got time, right? For me, this is my intro to geometry when I first get into teaching someone geometry and make sure they understand this concept and then we build from here, right? No matter what grade they're in. I don't know if that would be considered a proof of this, but it's an explanation. I'm pretty sure there's a hardcore mathematical proof to it, okay? 4D is just time, introduce time, here. You won't understand four dimensions? Watch this, here. I'm going to take this down, okay? Here's four dimensions, Grizzly Dean, okay? You're going to call up a friend of yours, right? You guys want to go into a movie, okay? Back in the day where you could go to movies, right? And you know of a movie theater, it's downtown, it's big building, right? The whole building is a movie theater, right? And the movie theater is on the corner of first, oops, that's not a one, one, first street, and what's a good street name? What's a good street name? First street in Cheecho Boulevard? Nah, that's too much. How about Grizzly Boulevard, right? Grizzly Boulevard. This is Grizzly Boulevard. Here's the building, here's the building. Now you call up your friend, Grizzly, and Cheecho. Charming sarcasm, what are you doing? I'm a little high, so I just pictured Cheecho was about to go, you don't understand it, Grizzly. Here, let me show you, then just ends the stream. I'll check this out, Grizzly. You call up your friend and say, hey, bear, right? Let's go to a movie. Let's go to a movie that's on the corner of first street in Grizzly Boulevard. So this is your x-axis, right? This is your y-axis, okay? And the movie we want to see is on the seventh floor. You're on this floor, right here, seventh floor, right? 1D, 2D, 3D, you're on the seventh floor, right? And your friend bear says, Grizzly, done deal, let's go. I'll see you there and hangs up. Have you guys made a date? Is it going to work out for you guys? Is it going to work out for you guys? Is there any other information? So it's just time, it's just time. That's all, Grizzly. You got to tell them what time. You could go there 10 minutes after you've left. Maybe you thought the movie you guys were going to go see was at 2 o'clock, but you forgot to tell them, right? And he thought it was 4 o'clock. So you go there at 2 o'clock. He's not there. You're all pissed, right? The movie's starting. You already missed the trailers. Oh, you missed the trailers. Good thing you missed the commercials at the beginning. You missed the trailers too. Now you're all edgy, right? And once the movie starts, you can't just walk in, right? Because you missed the first little clip, right? So you're all pissed. You go home. And then Bear shows up 10 minutes after you've left, right? Because he's early, or she's early, or they are early, right? They want to get popcorn, play video games. Maybe there's some pinball machines there. Is there any stuff pinball machines in the movie, dude? Right? And Bear is there waiting for you to show up at 4 o'clock and says, no, I'm not leaving, right? Until Grizzly shows up. He could be there forever, right? So fourth dimension is just time. Now there supposedly are other dimensions, spatial dimensions. I think Ronnie asked, don't understand why it's so hard for humans to visualize the third dimension more than anything beyond 3D. It's because we don't have a perception of it. We don't exist in a four-dimensional world. We can try to understand what 4D looks like. And the way we understand what 4D looks like is through its shadow, okay? Brett Slinger, 91. Thank you very much for the tier one sub. So the way we try to understand four dimensions, four spatial dimensions, is by looking at the shadow of a four-dimensional object in 3D. So right now, like here, check this out. Like I'm putting a shadow here, right? Agreed? So if I hold up a 3D object, these are all 3D, but here, let's do a pen, not a pen, a cup. Like SAP, I got my certificate in this, right? I keep it as a memory. Is this even throwing a shadow? There you go. There's a shadow of a cup. There's a shadow of a cup, three-dimensional object. This is what the shadow of the cup looks like, right? Let me see if I can do it here. Oh man, doing it on the drawing is so difficult. Here's the shadow of a cup. That's the shadow of a cup, right? So this is what a 3D object looks like. This is what a 3D object looks like. It's got a hole in it. Cool, I'm sitting there for a while. It's a little dirty there, right? This is a three-dimensional object, right? This is the shadow of a three-dimensional object, but this is two-dimensions. Now if you look at this thing, two-dimensions, without knowing that that was a cup that has a hole in it, would you know that this has a hole in it? How do you know what a hole is? You live in a two-dimensional plane. Like what's a hole? Is a hole this? But that's not a sealed hole, right? That was a hole that you could put your finger through it. If you're in a two-dimensional world, how are you going to put your finger through that? You're on a flat surface, right? That's the same way it works for four-dimensional objects. We can see the shadow of a four-dimensional object, but we can't know everything there is about that four-dimensional object unless, well, no, we still can't, but what we can do is, for example, take this object again and let's draw the shadow this way, right? If you draw the shadow this way, it looks like this. Well, that just looks upside down. What? Here, let me draw it like this. I want to draw it like this. There we go. Let's say we're drawing it like this. If you draw it like this, you get this. Now it looks like this. If you shine it like this way, well, what is that? If you only had one direction shadow on this three-dimensional object, then you wouldn't know that from the top it looks like that. Now what is that? Unless the bottom was empty as well, if the bottom was empty, it was broken, then it would look like this. Then you'd be going, what? So that's what we can do with four-dimensional objects, spatial dimensions anyway. This is loving. Christopher Nolan is loving this dream. I have a safety mug too. Ah, do you, Paan? Did you have SAP certificate? I did the course, in 2000. 2000? 2000? Well, I can't remember when I did. 2000, I think. I went and got my FI certificate. Nice. I follow you. Things were to follow grizzly. Okay. I hope that makes sense. Okay. Now music and mathematics. Let's just do a little quick thing on it. If Sleepy Waves is not here anymore, hopefully he sees it later on when we upload it. Because he asked if we could just show on a very basic how mathematics is related to music. And music, look, I knew a little bit a lot more before in the past. I stopped playing drums for a year and I lost my ability to play drums as well as I could. So I sort of stopped playing because when I went to university, it was longer than a year. For like three, four years, I went to university. It was a way from where my drum set was. So I couldn't play drums on a regular basis. So I lost my ability to play drums. And at some point I had to sell the drums because I didn't get back on it. That's one thing Neil Perk used to tell people, Russia's drummer, that the reason he practiced so much because he was afraid that he was going to lose his ability to play drums. Sleepy Waves, you're here right on. I'm here. Been patiently waiting myself. Good. Thank you for waiting. So Neil Perk used to say that the reason he used to practice a lot was because if he stopped practicing, he would lose his ability to do certain things. And that would be frustrating. And he never wanted to lose that ability. So keep that in mind and that goes for anything. As the saying goes, use it or lose it. Pawn. My S.I.P. comes from a brief spell at A.O.N. Hewitt. I was fired because I missed too many Mondays. Oh, Rat. How, what was it? We don't like Mondays. Joe Ciccio. I posted the tuning piano video on the math disco. For awesome, awesome. Thank you. Thank you very much Joe. Now take a look at this thing. When you're playing music, with drums is really the beat. And a lot of rock and roll or a lot of music is four, four beats, right? Now I don't, I've forgotten my music symbols. I've forgotten, I've forgotten everything. So I'm going to use symbols that musicians, music people are going to go, what is this guy talking about? But I'm just layering on the math, right? Grisly. I used to be a pretty good trumpet player. Now I probably can't even blow. Boom down rats, boom down rats. Check this out. So we have, oh my God, I'm going to draw music. What do you call these things? So this is the way I learned how to play drums, believe it or not. This is the way I learned how to play drums, right? This is the way I learned how to play drums. Remember, I had zero, I was a very good drum player by the way. Not, like, first song I learned how to play was YouTube's Sunday Bloody Sunday. Next song I learned how to play was, nice thing said she, was the police wrapped around my fingers. Okay. I learned the Van Halen song. I learned some other songs. And then I realized I tried to play Rush, Tom Sawyer, and I couldn't do the drums so long. I realized I wasn't technically, I don't know how much of practice I couldn't, I couldn't do it, right? So, and it wasn't by listening or anything. I had to read the notes to do it. I would memorize the notes. Staff, is that what it's called? I don't know what it's called. So check this out. We're going to put two chords here. And what's that symbol? Here's the music symbol. Is this what we do? How does this go here, here like this? Is that where we're doing it? I don't know. And the way I learned was this. This would be the bass drum, right? This would be the hi-hat. Let's put the hi-hat here. This would be like a symbol. Symbol. This would be like snare. Okay. And then you'd have a like a tom-tom here or something like this, right? Tom. Tom. One, Tom, two or something like this, right? So if you're playing a 4-4 beat, right? That means you got boo, boo, boo. That's one, is it a chord? It's not a chord. It's one section, right? So for a bass, a 4-4 beat, I don't know if it's 4-4 or whatnot, but basically, let's assume that's one set that you're going to do, right? You would go bass, boom, sharp, boom, boom. Okay. And then you would do snare. I'm not even doing this, right? I don't know if I'm doing this, right? I don't know. It's like, let me do this with my lines. Hold on, hold on, hold on. Let me do this properly. Let me do this properly. So you start off with the bass, the hitting, the bass is the foot, right? And then in the middle, so you go boom, bam, boom, bam, boom. And then you hit the snare in the off beats, right? And then the hi-hat is usually going 4. One, two, three, four. So you're going choo, choo, choo, choo. So that's going pretty fast. That's like a punk beat. Right? I'm doing a random job explaining this, by the way. And then you would have like a cymbal. And with the other hand, you go bam, smash a cymbal or something like this. Let's do it. You could do it on the, on the offs as well. I don't know, I don't even know if this works like this, right? So this is the way they break it up. 4, 4. Like really, I gotta get my notes. I'll show you guys my notes one day, right? My cymbals one day. And you can put toms here. You could do double toms. Boom, boom, right? Undo this one. Boom, boom, right? Like if you look at Neil Perch stuff, shut up. It's just filled with stuff. Right? And then the same thing would repeat here. You're doing the same thing. Boom, boom, boom, boom, boom, boom, boom, boom, boom. And this is, this would be a four count, right? Break out the drum set. Break out the drum set. Nice tadpoles. Thanks. Fond says. So this would be like on, it was a zero, four, eight, whatever. Right? Now there are other beats that people do. And Neil Perch was, some of the, some of the songs that he played, he'd go from four beats. Some songs, it's not even four beats. It's seven, eight beats, right? So the rhythm doesn't end on the four. It doesn't start on a four, a natural count. It's an off beat, right? So he would take this. So this is up to an eight. So he would take it, right? Here's the eight. And Tool does this. Tool does this, right? Here's the four, right? Here's the eight. Here's the zero. But with some music, you don't do the repetition here again. You do it on the seven, the seven count. So from here to here is what the beat's going. And it's not natural. Like when you're dancing, you're doing this, and then all of a sudden you would have and then like do a pop up, but it's not even that. It's just an off beat. And then how many of these do you need to get back to a regular beat, right? And then you can take a seven, seven beat. I'm going to make it smaller here, right? So you would take a seven, seven, eights, and then you would take, oh my God, you would take three fourths, right? So you do seven, eight, three, four, seven, eight, three, four, seven, eight, three, four. What a trippy song that would be, right? Dream Theater does it too. Dream Theater is amazing. Oh my God. No name boy. Dream Theater is beautiful music. If you guys have never listened to Dream Theater, you'd listen to Dream Theater. I seem to recall this. E-G-B-D-F on the lines going up. Is that what it is? Yeah. You know what? I got my notes, drum notes somewhere. One of these days we'll do an ASMR video and we'll do the top view with the way we do the comic book readings and I'll show you, right? Maybe, right? So this is the way math plays in it. And when the musicians are getting together to create this music, right? Now just imagine, this is one section, one little part, right? And a song may have multiple pages of these, right? And they have to break it down. So it's not chaos, but there is at some point where everything goes, right? It's an epic moment. Music builds up, the lyricist is going crazy and all of a sudden just goes, everything hits on the same moment, right? Boom! And then you can go back into the rhythm and the chaos again and then boom! Now you must have, grizzly, thank you very much for the Twitch Prime sub. You must have listened to music or been to shows where all of a sudden everybody at the same time goes, wham! Right? That's what's going on. That's the mathematics of it that's hitting. Okay? That's the rhythm that's hitting. There is, you know, taking this to sort of literature, book. One of the most fantastic science fiction books that I read was by C.S. Lewis. It's a trilogy. One of them is called The Hidious Strength and then Palindra or something like this. It's a three-book trilogy, right? And in one of the books, I'm going to give you a little bit of a spoiler, but that's okay. In one of the books, the main protagonist travels to another planet, right? And he encounters aliens and the aliens are listening to music, right? He understands that they're listening to music because of their behavior. But in the book, as he's explaining this music, he explains that he couldn't understand the music. There's no, it didn't relate to him his music because the heartbeat, because our heartbeat follows this, right? It's a constant beat. Every now and then there's a rhythmic offbeat, right? But our heartbeat is rhythmic, right? That's why the 7, 8 and 3, 4s and stuff like this is hard to comprehend, right? But in this book, he's, C.S. Lewis is explaining that protagonist is having a hard time relating to this music because he can't, because their heartbeats beat differently than our heartbeats, right? That's the way he was explaining it. And I read this many years ago, like 30 years ago, right? I'm not doing it justice, but it was really good. Rest in peace, Professor Neil. Indeed, Intrepid, indeed, indeed, indeed. I'll go. Hello, hello, how are you doing? You remind me of my teacher. He's must be or she must be an amazing teacher. I never had a good math teacher or teacher in general. I really didn't have a good math teacher either. The best teacher, math teacher I ever had was time and just persistence, right? Pawn. DJ Days on vinyl and techniques. 1210s taught me the science of music. Beats and bars, indeed. 32 beats in the drop. Nice, nice, nice. And as Pawn is mentioning, DJs, like some of the first videos I loaded on my SensorTube channel was me going to music festival on the island here. It was like a weekend music festival. It was phenomenal. It was called Soundwave. And I went out there because I knew I was going to start shooting mathematics, make math videos, and I leaned it to learn how to shoot video. So I bought a camera, went on the ferry, I was reading how to use it, right? And shot a lot of video during that festival, right? Or the new camera. I shot a lot of video during that festival. And a lot of the video I shot was looking at the DJs mixing, right? And if you ever go to a music festival or a show or something like that, where there's a DJ mixing, in front of their screen, you'll see the bars going across. That's all mathematics was going on, right? Aside from that in mathematics, the harmonics of it. It's all trigonometry, right? Layer this, with this, with this, with this, with this. And you got music, right? You get stuff like... Like this is all, this is all just mathematics. A whole bunch of sine waves layered together, offset, transform to generate music. That's what music is, is vibrations, right? Sleep with Chicho. Do you think that people can make music who don't understand music? Oh, for sure, of course. Of course. I feel like producers and artists today use less instruments nowadays. I need to read that. The CS Lewis books, yeah, yeah, yeah. I think that's what you mean. Yeah, for sure, sleepy waves. Today, they use less... It's technology. Like your computer, you download a program to generate music. You have every instrument known to mankind, or almost known to mankind, and sound that you could have to create music, right? In the past, you didn't have that before technology on this level. You have to get people that knew how to play all these instruments together, and then you had to, like Beethoven or Bach, or whoever wrote the music that could hear the music, write it, and then you have to give it to the musicians to play it. Right now, you can do it yourself. One-person solo operation, right? It's brilliant. Yeah, music theory is not necessary. Sleep with waves. Cheryl, sleep with waves. There's a huge difference between understanding theory from a technical perspective and an innate understanding, yeah. And ear. You have to have a good ear, right? No name boy. Or Robert Johnson, who sucked that guitar, went to a crossroad, made a deal with the devil, haha. Became a great player and then disappeared, haha. Is it Hank Williams Jr. has a song on that, doesn't he? It's an amazing song, by the way. I forgot what it's called. What's it called? Devil with a blue suede shoes. Devil with a blue suede shoes, right? Is that what the song is called? Hank Williams Jr. Devil with a blue suede shoe. What a phenomenal song. And there's a movie with Pacquiao, I believe, where he actually is a guitar player and goes to a crossroads and makes a deal with the devil. That's a great movie. I gotta watch that movie again. Dave Nahl learned drums by playing with pans and pillows. There's some amazing drummers out there that old school videos you see from the 1970s and 80s, just from people sitting in New York or Philly on the street and playing drums on buckets and lifting it up and making sound. My God. Tons of people feel the theory, but couldn't put it down on paper. Indeed, music theory in large part is, I think, can be just an academic realm, right? Hedgie, every good boy does fine. I had to Google it, but I recall it. Every good boy does fine. What is that? AI will come up with the future hits. Me? I don't know. I think AI, machine learning, programming, like a lot of pop music that has been, hits the charts and sells a lot, is because it's a formula they're applying to human nature, human characteristics. We get attracted to a certain type of beat, certain type of music. So it's just a formula they're rehashing all the time, right? But those tracks don't stand the test of time because they're easily replaced. I think the type of music that really stands the test of time is music that challenges us. It's not the same rehashing of the same thing, but it's the music that really makes you go, wow, right? So, you know, I'm sort of being biased because I really like intricate music. Like, for me, one of the greatest genres of metal is math core. That's one of the reasons I got really into Dillinger's skate plan. Like, I want to saw Dillinger's skate plan. I think three or four times. I can't remember how many times I saw Dillinger's skate plan. And watching all the bands that open up for Dillinger's skate plan, like animals as leaders and stuff like this, like math core when it comes to metal is some of the, in my opinion, some of the greatest musicians right now playing instrumental music or playing math core, even though I haven't gone off on it for a few years during the time when I was listening to Dillinger's skate plan, they were, they would have been some of the, they are some of the greatest musicians that were around during that period or when I was listening to them because they were so intricate, so intricate. Look up math core, metal music. It's chaos brought to you on this level amplified, right? Absolutely brilliant. Pond, for people who don't know what dance DJs do fundamentally, they match the first beat of a bar with the first beat of a sequence. So when they build up, they drop together, amplifying the experience, 8, 16, 32 beats. You will hear a change in every piece of dance music indeed. And the categories of, the different categories of electronic music, right? It may be drum and bass, may be down tempo, house, electro, what do you call it, techno or whatever it is. All the different genres of electronic music, the main category that they're based on is the beats per minute, right? Isn't it beats per minute, DBS or whatever it is, 128 versus 132 versus 115. What's that called? I know this because my, well, I've been around DJs, been going to music festivals for a while and I know a lot of DJs but my partner DJs a little bit and I know a few DJs and it's just basically the BPM, yeah, beats per minute that really defines what electronic music is categorized, what category it belongs to, right? Oh, is this techno? Is this deep house? Is this house? Is this whatever, right? It's brilliant. Devil went down to Georgia. Devil went down to Georgia. Sheryl, that's the one, isn't it? Hank Williams Jr. I gotta listen to that song. I gotta listen to the track after this. Hengie, blue pill music I find so mundane. I can't tell the difference between songs in the top 20 days. That's probably because they're just going with the formula, right? Brian May Pond says, is an astrophysicist for a reason. Brian May, Brian May, I don't know if I know Brian May. No name boy, Chicho. Have you listened to Change of Seasons by Dream Theater? Probably. I haven't listened to Dream Theater for a long time. No name. Last time I went off on Dream Theater was probably 10 years ago or something. So 20 minutes of a true masterpiece. Yeah, true. Dream Theater is amazing, really. Dream Theater, Godspeed, You Black Emperor, Carl Klaus, I believe, Frank Zappa. There are some master musicians there, right? The straight wizard greetings. That is a glorious beard you have there. Thank you very much. My goatee. You should see my full blown beard. I got some videos out there with my full beard. At some point we're going to go back to it, of course, right? But I love the goatee, man. I love the goatee feel. No name boy. From all the songs in the top charts right now, the only song that will probably still be remembered a few years from now is Leave the Door Open by Silk Sonic. It really has that R&B 70s, 80s feel, does it? I don't think I'd listen to... I probably wouldn't even know any of the top 20 tracks right now. Intrepid. Devil went down to Georgia, was written by Charlie Daniels. Was written by Charlie Daniels? Nice, nice. Devil went down to Georgia, and the fiddle is the fiddle. Oh man, what a great song. What a great song. I'm for sure I've written and listened to the original as well, but I really like the Hank Williams Jr. version. It's just a party song, like hardcore. Chicho. No, Chicho. You know Brian May. Brian May, Brian May, Brian May. The name's familiar, but I can't put it. Is the guitarist for Queen? Oh, is the guitarist for Queen? Okay, Brian May. So Brian May did what? Brian May is astrophysicist? Is he? I had no idea Brian May was astrophysicist. What the hell? Awesome, awesome. And gang, don't forget. Free Assange, free Assange, free Assange. Julian Assange is a publisher and journalist that has been crucified for trying to bring transparency and accountability of capitalist power to humanity. For more information, see wikileaks.org, defend.wikileaks.org, or Julian Assange and wikileaks. Playlist on censor tube. Quantum kek. Can you show the relationship between renting and buying a house? And at what point does buying make more sense? Buying makes more sense if you found your dream home and you want to live in it for a while. Okay, buying makes more sense if you're not going to be totally crippled by the debt that you're taking on. Buying makes sense in an area where it has good water supply as the same goes location, location, location. Buying makes sense if you're not buying during a bubble. Buying makes more sense where when interest rates are low, okay, and you're not going to be overwhelmed with picking up a huge mortgage and the interest that you're going to be paying on your mortgage is above the CPI, is above inflation, or above what your capacity is to make those payments to the bank. Buying makes more sense if you have children. Buying does not make sense if you want to stay liquid, if you want to stay mobile, if you don't want to be tied down, if you have other investments that you want to make, okay. There are multiple things you have to look at when you're looking at buying versus renting. Number one rule, which is what most people don't tell you, number one rule is lifestyle. What is your lifestyle? Is your lifestyle congruent? Is it a lifestyle that requires you to have a home, a central location that you don't want to move for a while, or does your lifestyle dictate that you want to be on the move and you want to be liquid? You want to be not tied down. To me, that is the key, that is the essential part. Some people say, oh no, the best thing to do if you're going to be renting somewhere for five years, then it's a good idea to buy a place because your mortgage will go towards your property, because the property value will go up. Well, property value is not guaranteed to go up because buying also has a certain amount of expenses that you have to put into it. It's got taxes you've got to put into it. So there's a lot of things there. So, quantum keg. I would say, number one rule when it comes to buying a home or renting is look at your lifestyle, decide that, and then you can look at your finances. No need, boy. Ah, Zappa is awesome. My brother sometimes says that system of down is what would happen if Frank Zappa decided to do a metal, probably, maybe, maybe. But Frank Zappa would do a lot more variety than System of Down did, right? System of Down was very consistent in the way they composed their music, right? Frank Zappa jumped all over the place, right? Which is what really made him brilliant, right? The straight wizard. I can only grow a goatee. My cheeks go on super patchy. In the next life, brother, ask for some Armenian blood or something. We're hairy. We're hairy. Hello, I'm a snake. How are you doing? Hey, Chico. Glad to see you in yet another stream. I just came back from yet another protest rally. Nice. Now it's time to educate myself and myself on some math. Very nice, very nice. And congrats on going on the protest, brother. You got to put your bodies on the line to a certain degree these times, right? The straight wizard. I just want to buy an acre out of town and build a tiny home. Yeah, straight wizard, not a bad idea. Tiny home. I have friends that live in tiny homes. Before buying property, that if you're buying property to live in, make sure you have water supply in that property. Number one rule when you're buying property, look at the water supply coming in, okay? Are you dependent on a well? Is it a good yielding well? Are you dependent on the city pipes coming in? What's the water situation like? And look at the historical charts of it. See if the water level is dropping over time. If the water level is dropping over time, your well has to go a lot deeper. And there's only so deep you can go before you run dry, right? So water is the key, right? Honestly, Chicho. Honestly, Chicho is making a good point. I should buy an RV. Why not, right? Expensive though, when it comes to gasoline, if it's a gas powered, sleep by Chicho. To build off quantum care question, can you show us in math what is needed to buy property or rent out? Currently looking at buying a property in my home country, in Madeleine, Colombia, to Airbnb. I would buy cash. There is no bubble in housing, since in Colombia, everyone buys houses and apartments cashed, to be honest. Okay, cool, that's good. Airbnb, be careful, because travel, but people do travel locally, so that's still legit. But a lot of international travel is going to be gutted, and it is being gutted. So Airbnb, people are relying. If you're buying an expensive property, dependent on having high-end clientele to rent out your property, you might be in trouble, right? So in Vancouver, for example, there's a lot of people bought apartments to do Airbnb. Some apartments, some people bought apartments, condos and apartments, and all of a sudden the council for that apartment came on and said, okay, no Airbnb allowed here. So those people bought it on the condition that they were going to rent it out. Now they couldn't rent it out. Now they have to sell it, right? Lucky for them, the property value's gone up. If it went down, they're screwed. Now, when all these lockdowns came in, people couldn't rent out their Airbnb's, but they still had to pay in a mortgage on it, so they lost out big, right? So be careful on that front. As far as showing the math, we'd have to, I couldn't do it off the cup, man. I couldn't do it, I could, but it's just very general, and the general stuff you already know, right? Basically, name of the game is this. Name of the game is this. This is the name of the game. We'll do simple numbers, like numbers that really don't apply to buying something. Well, it could in some places. Let's say you're going to take out $100,000 mortgage. Let's say the property was $120,000. You paid 20% down, right? So 20% down you already got $20,000 in the apartment, down, paid. You still have $100,000 mortgage, right? Now, how are we going to make this chart? Let's make this chart over time. Are we going to be able to do this off the cup time? Okay, this is money, right? On $100,000, depending on what type of mortgage you get, how long the duration is, and all that jazz, you're going to be paying on a monthly basis a certain amount of money to pay off your mortgage, right? Simple calculation. Simple calculation. Let's say you're doing your term for 20 years. 20 years, okay. And in 20 years, you expect the total amount of money that you would have been paid to the bank would be double this. So you're going to be paying $200,000 when all is set and done, right? So $200,000, so you're paying an extra $100,000 to the bank to buy whatever it is that you're buying after 20 years, right? So let's assume you want to break even. How many months in 20 years? 20 years times 12 months per year is 240 months, right? Months. Now, I don't know if this is the legit way people do it. I do my own calculations, just base value, and then you can look at the logistics. We're already taking into account the interest that you're going to be paying on this, right? So take $200,000, $200,000, divided by 240 months for 20 years, right? Divided by 240, oops, 240 months. That means you're going to be paying $833, $33.33 mortgage per month, right? This doesn't include taxes. This doesn't include service. This doesn't include water. He got nothing, right? Let's assume kick this up with taxes and everything. Let's assume plus expenses, expenses, cleaning, you get people renting out. They destroyed a place. You got to fix it up again. Let's say it's going to be $900 per month that you're going to be putting into this apartment for 20 years, right? Simple mathematics says rent this out for at least $1,000. You rent it out for $1,000, multiply by this. Well, it wouldn't be that much. So $100 a month, right? So $240 over 20 years. You're making extra $100 a month. You're going to make $2,400 plus you're going to have an apartment, right? Plus you have an apartment, right? So you have $200,000, $2,400 in equity, right? That's where you should start. Most basic calculation you can do, right? And then look into how much it really costs in your area, to how much the taxes are, how much interest rate is going to be. Do a legit calculation for this, right? How much you're going to be paying over a 20-year period, borrowed $100,000, right? Use your compound interest formula. A is equal to P1 plus R over NT. Use this formula to get a real idea how much it is that you're going to be paying at the end of 20 years, right? If whatever the payments are, right? That's my quick take on it. Red. Couldn't agree more. Renting in London currently. Last 18 months has been interesting regarding people buying property. Joe Chicho. Regarding my rectangle question, I just read an article which says that the three basic shapes are a square, a triangle and a circle. All other shapes are derived from these. Cool, cool, cool. So square triangle. Square you can get from a triangle. So it should be really two. Triangle and a circle. Floor hedgy. Floor high level as well, right? Look at your water supply. UK just said they're going to put fluoride in the water. Get filters. This stray wizard, yeah. But that whole buying just for Airbnb was BS. I lived in Cologne, BC and because so many properties were just for Airbnb, it made finding rent harder. And it drove up rental prices when you did find a place. Yeah. And here's the kicker. All this Airbnb gig economy, gig rental, gig housing. It destroys the city. It destroys the community because what happens is during the peak seasons, people rent out the place, right? But during the down season, the place is not rented out. So just imagine you're a store in a town that is selling something, whatever it might be, right? During the peak season, you're really busy. During the low season, nobody's coming to your store, but you still have to pay rent. A lot of places like restaurants can't afford that. So they go bankrupt or they close their doors and move on, right? So what happens is you've got a community, you've got a city, you've got a town. Airbnb stuff is not a bad idea, but there's got to be limitations on it, okay? All these... And there's a huge problem with property values anyway. I mean, that's just one of the issues, okay? Pond. Avoid cities if planning a purchase indeed. Cities will haemorrhage occupants in coming years as banking class move to home work and cities become cesspit of low-grade work. Land and ability to cultivate it will be the future for people. I grew up in London. I left 10 years ago and watched a decline. We'll never go back, not even for a visit. Yeah, I agree with Pond. Big cities are going to be gutted. Right now, what's going on in terms of cities? About 10 years ago, a little bit longer, corporations and stuff thought it was a great idea to start building private cities, right? So some of these corporations, there were two test areas they were doing. One was in Asia, the other one was in Latin America. Where was it? Uruguay they did it? Or Honduras? Honduras, I think they did it. They were trying to build... They bought this land and there's people living there. They wanted to build a private city. The shit hit the fan. People were like, what the hell are you talking about? Private city with their own laws, everything. So it didn't fly over well, right? The billionaire thought it was a great idea. The people went, what? Right? So that plan sort of got ditched. But what's going on now? Those billionaires don't give up, right? Those who want to rule the world, right? What they've ended up doing is now they're trying to build strong cities. Just getting into politics a little bit. We're not going to go too deep in it. But strong cities is basically a certain class of the oligarch technocratic society, people in their societies, taking over a city, making smart cities, strong cities, with hardcore surveillance, lack of privacy, okay, hardcore brutal policing, and they are taking over certain cities. Australia's seeing it happen right now. You don't want to live there. Unless people take it back. Slippy way, chicho. I guess the good thing about investing in meddling Colombia is that I'm going to be buying cash. No bank loans to worry about. Okay, cool. But worry about taxes, worry about electricity, worry about water, worry about safety, okay? Worry about the township or the city that you're in going bankrupt. Because once they go bankrupt, if people start leaving, the infrastructure deteriorates and things are cut off. For example, in Detroit, in Detroit, let's say this is Detroit, there were so many dialect houses, abandoned houses that in certain parts of Detroit, the city came on and said, no more water, no more electricity. There's people living there, right? But it spars people living there. The city couldn't afford to supply, maintain those areas with electricity and water. So, done. That whole area is done, right? People have to move. Be careful. Look into the whole infrastructure and economics and politics and whatnot. Rabbit hole. Geometry can be fascinating, fascinating. Slippy way, chicho. At the end, I understand it's a lot of work for a small investment. Better be putting money into criminals. I don't know, brother. Thunderproof, ASMR stream. More like mass stream. ASMR math. Nice chill, Joe, chicho. How do you get the area of a circle without using triangles? You split the circle into an infinite amount of triangles. Yeah. Yeah. To a certain degree, you could do it that way. Tell you the truth. I don't know. How did it come up with pi r squared? I don't know the derivation of pi r squared. It is calculus, taking the limits and making it smaller and smaller. But I really don't know how they've done it. I don't think I've ever even looked into it. Okay. The straight wizard. Disney tried building a private city a couple of times at least. They failed more marvelously both times. Good. Joe, chicho. You then arrange those triangles into either a rectangle or another triangle. So how can the circle be fundamental shape? It's fundamental shape because of pi. Because pi is an irrational number. It's infinite. You can never get... There's no such thing as a perfect circle in nature. So a circle has to be a fundamental shape. And then there's the whole thing with the five solids. What are they called? They're called five... Is it five? Man, I looked in the stuff so long ago. The five fundamental solids, and they're not called fundamental. I forget what they're called. They're the five solids that you can build on each other. I forget what they're called. Pong. The new fluoride is only in England, not Wales or Scotland. Good, good. It's an old, globalist idea that Tony Blair wanted to implement. Ah, Tony Blair. You should be sitting in jail, rotten in jail. Now the medical advisor suggests it will help with dental health of children. Insanity. The same people who chose to that had children in the UK for their mental health are fluoride... Yeah. And here's a kicker. Let's assume fluoride is phenomenal for the teeth. Make strong teeth. Never cavity. Very strong teeth. You die with full set of teeth. Right? But what's it doing to the other parts of the body? The human body is not just teeth. All right? The human body is a complex system. Like, there's a lot of people that say, oh, you must put fluoride in there to make strong teeth. But do you even know what that stuff does in the digestive system? What is it doing with the rest of the body? Like, our medical system knows a lot about the heart. Knows diddly shit about the digestive system. Very little. Melbourne is a strong city indeed. They're going with it. Steep away. Chichou, I feel like investing in certain upcoming parts of Detroit would be smart right now. You can buy a house really cheap. And Detroit is a dope part of the Midwest, to be honest. Plus, they got weed legalized. Yeah. Steep away. Detroit in the 2008 collapse scam. Right? $100,000 homes. You could have bought for $3,000. Homes, property in Detroit was selling for $3,000 a pop. A house. Right? Now, here's the kicker. You still have to pay tax on it and all that jazz. But you could have bought a house for $3,000. I don't know how cheap it is now. What is the story of pie versus new question? Pie is this. Right? Here, let me give you a quick intro to pie. Let me read this. The speed goes off. Disney suing Stan Lee's family for contract control of Marvel characters. I hope they fail and burn to death. She says, Joe, the area of a circle was one of the first derivations I saw in math. It blew me away. You basically split the circle into an infinite amount of triangles and then rearrange those into a rectangle. Then you simply use the area of the rectangle. Really? Very cool. Very cool. Here, deep flake. Check this out. Here's pie. Right? Here's a circle. Right? Here's the center of the circle. Right? The most important thing about a circle or the only thing that defines a circle is the radius. Right? Here's the radius. Okay. Now, the radius is the most important thing about a circle because everything's based on the radius. Right? If I give you the radius of a circle, you can make the exact same circle as I did here, over there, wherever you are. Right? Keep that in mind. Now, for you, if you're standing here, let's say you're standing on a big circle. Right? If you're going to move this way, right, then I could tell you in one way that you know that almost everyone knows where I want you to go. I could put a grid on this circle. Here's an x. Here's a y. Right? Because we make the center of the circle zero, zero. Right? This is point zero, zero. Right? And what I can do is say, okay, from angle theta, right, from angle theta, go to 120 degrees on the circle and you would go here. Right? From there, you would go here. Thank you very much. And from here to here, that would be 120 degrees. Right? That's one way I can tell you where I want you to go from a circle. Right? Over here, maybe it was 30 degrees. I would tell you go to 30 degrees on the circle and you know where you are. Right? Now, there's another way I could tell you where to go on a circle. I could tell you where to go on a circle using geometry, using coordinate system, x and y coordinates, because if we draw a triangle here, right, angle triangle, right, then this point here is your x and y, where this is your x, right, or x1 and y1, y1. And this here would be your y1. So instead of telling you, I want you to go 30 degrees along the circle, I could just say go to coordinate x1, y1 and you end up there, or go to coordinate x2 and y2. I could tell you to go here. Right? Here's x2, here's y2, and you end up there, right? That's one way of doing it. Right? So I can give you an angle and I tell you what the radius is and you're there, right? So there's two variables that you got taken care of, or I could also put a coordinate system on there and give you two variables and you end up at the same place. So I could tell you where to go on a circle on the surface of a circle or in the circumference of a circle, by giving you either the angle, theta, okay, or the radius, r, or I could give you a coordinate system, right? Now, one thing that's a fact, universal fact, universal fact, mathematicians are the laziest human beings on this planet, right? Tap it fast. Thank you very much for the follow. Seriously, mathematicians are the laziest human beings on this planet. And what they did, they went two variables. I don't want two variables. I want to deal with one variable. I don't want two variables. I want to cut down my variables, because when you cut down your variables, the problem becomes simpler, right? You got one less variable to deal with. Awesome, right? As long as you can do the same thing. So what mathematicians did, they said, okay, what is the most important thing about a circle? For you to draw the same circle that I draw, what do you need? You just need the radius. The radius is really the only thing that defines a circle, right? So mathematicians said this, you know what? This is what we're going to do. We're not going to measure the angle in degrees, because degrees is a new variable, right? Theta in degrees and radius in distance, measurements, feet, centimeters, whatever you want, right? Length. So forget about the degrees here, okay? Angle in degrees, okay? What we're going to do is define this, okay? We're going to come up with a new measurement of an angle, and we're going to call it radians. Radians, radians. And what is radians? We're going to define radians, or one radian. So one radian to be the equivalent distance you would travel along a circle, okay? That was equivalent to the distance of the radius, right? So if this is r, right, if this is r, and this is your radius, then we're going to say that one radian, one radian, is you taking this distance and putting it along the circle. So if we take this, one radian would be this, basically, take a look. To there. This distance here would be the equivalent of r, right? So if this was 10 meters, then this would be 10 meters. You follow? Right? I hope that makes sense. Pretty straightforward. And what we're going to do, we're going to call this one radian. So what I'm going to do is, I'm going to erase this. I'm going to do this, almost 10. So if the radius of a circle is 10, right? And if you travel along the arc of a circle, 10 units, then we're going to call this one radian, one rad. And rad is just short for, like, degrees is degrees, and one radian is rad, right? This is the angle. So when I say I've traveled one radian along the circle, that means I've traveled the equivalent of the radius. So if I draw your circle here, right? And I put you here, right? And here's the radius, r. And I say travel five radians along the circle, right? Then what you would do, you would go, here's a radius. So five of these. So here's one, let's say. Here's two. Here's three. Here's four. Here's five. So you would go, this is where you end up. Right? I didn't have to give you degrees. I didn't have to give you degrees. I got rid of theta in degrees. I created a new variable, which is radians, which is dependent on the radius. So it's really the radius, right? Cool, cool. What's pi? Pi is universal for every circle, no matter what size it is. Because if you travel from one end of a circle, if you go exactly half the circle to that side, you have traveled pi radians. Because from there to here would have been five radians. And from there to there is pi radians. And pi is 3.1415, I believe, if I'm not mistaken. So if you're standing here, I tell you to travel pi radians along the circle, you would go, oh, I know where that is. That's where I'm going to go. That's where you are. So pi is on a unit circle. A unit circle would be one, if we're going to call it, but that's what it is. Pi radians, pi radius is half a circle. That's why the circumference of a circle, circumference of a circle is 2 pi r. r is your radius, how long your radius is, and 2 pi is you traveling 2 pi radians, right? So if I tell you you're standing here to go 2 pi radians along the arc length of a circle, you would go, and if I ask you how long, what's the distance there, you would go, oh, the distance is 2 pi, because that's how many radians have traveled, the angle of travel in the circle, times the radius 2 pi r, right? If I tell you to travel 5 radians, oh, sorry, not 5, 5 pi radians, it means you're going to go 1 pi, 2 pi, 3 pi, 4 pi, 5 pi radians. You just traveled 5 pi radians, right? That means you traveled 5 pi times 10, times 10. That's the distance you traveled. That's what pi is. That's what pi is. I hope that made sense. Hedgey, everyone from 313 put your hands up and follow me. Jason, F, gentlemen, Jason, how can I find the shortest path between two nodes in a 5,000 by 5,000 matrix by using MATLAB, oh, I don't know, I haven't used MATLAB for a long time. I barely even used it. I think I'm mapped out now, after all that zombie math today. Oh yeah, the exponential growth thing, buddy. That's what you wanted, that's what you were asking, the zombie apocalypse math thing before. Bondi, Moose, 341, I really needed this two years ago before I failed math. Oh no, stupid centralized education system. Deep, vague, amazing. Makes sense, thanks. My pleasure, Alex. Bondi, my problem with math is retaining focus. It's easy to grasp and but without repetition, it is easy to lose. Yeah, use it or lose it. When you learn something in mathematics, you have to practice it, right? Like anything, you have to practice. It's a language, right? It's useless studying a language if you don't speak it, like try to speak it with others. You'll never learn it. Jack, my problem with math is people know Jack, it's not. The British education failed me. Most centralized educations are failing everyone. Gang, we're into two hours. We've got to end it. And no name, boy. I was good at math, but then they mixed numbers with letters. Haha, they did algebra without explaining to you what the letters were, which is just basically the unknowns. Gang, thanks for being here. I needed this little math live stream session. Always makes me happy doing a little bit of mathematics. It's beautiful, right? It's the fundamental of existence, really. There's no politics. There's no economics. There's no BS. There's no ideology, ideology, stupidity. There's nothing. It's just pure mathematics. And it's brilliant. And it's awesome. And it's the universal language. Okay. Thank you, Cheecho and Seifle. Thank you guys for being here for the questions. Super fun to do. Super fun to do. Gang, I'm not sure what I'm going to announce the next set of streams. My pleasure, D-Flick. I'll probably do one off. I don't know. Look at this. Look at this. I didn't even appear nice. Asking dead. Ha, ha, ha. Too bad troll time. Let's hold on. How do we ban? Nice, Cheryl. You killed it. Thank you for my pleasure. My pleasure. Thank you for the bits, CryptoKang. Gang, thank you for being here. And probably towards the end of the week or something. We'll do another just one off. And then we'll do cooking and finance and mathematics and current events and all that jazz. Aside from that, Gang, if you wonder what this work is about, I am on patreon.patreon.com forward slash Cheecho C-H-Y-C-H-O. I don't put anything behind paywall. Everything is created common, share and share alike. And it's basically layered on mathematics. This is the essence of what we do. And for those of you that are supporting this work on Patreon, Gang, thank you very much for the support. It is in large part because of the support. We're getting on Patreon that we're able to do this as well as the support we are getting on Twitch. Gang, thank you very much for the support. Thank you for being here. Thank you for discussions. Thank you for the love. Thank you for the questions and the help with the mathematics. Super fun, super fun. And mods, thank you for taking care of business. And Gang, thank you for the follow. Thank you for the shares and thank you for the bits. Greetings, Cheecho. Thanks. My pleasure, Alex. My pleasure. I do announce these live streams 30 minutes before we go live on Mines, VK, Gap, Parler, BitCloud, and Gitter. Free speech social networks. If you're on a social network that is censoring information, get off that social network that is not a social network. That is an indoctrination programming, propaganda network. You don't want to be there. And we do have a Discord page. You can come to our chat anytime you want. Type in exclamation mark, Discord, and the link, the invite will go out. You're welcome to join us there. There's a lot of people sharing information, talking about things, sometimes debating. Okay, you're definitely welcome to join us. And the links will be in the description of this video. We do have a sound card page where we upload videos, the audio of the live streams that we do as podcasts. And those podcasts are available on your favorite podcasting platform, including Spotify, iTunes, and Google Play, mainly reserved for live streams where we don't have any visuals, just the discussions and whatnot. And we will be uploading this full live stream to SensorTube, to BitShoot, to Rumble, and to Odyssey. If you want to follow all of our content, BitShoot, Rumble, and Odyssey is where you want to be. Everything does not get loaded on to SensorTube, okay? And basically, gang, thank you very much for all the support on all of these platform. Pawn, I will tip in library credits. Have a ton. Awesome. Thank you very much, Pawn. The library is fantastic. Love the library. Odyssey is the same thing as the library. So Odyssey is the library. Rumble, BitShoot, free speech platforms. That's where you want to be. Lots of amazing stuff. 864 people on Discord we have right now. Awesome, awesome, awesome. I'm enjoying it. I'm there a lot. And so is Heji, and so are a lot of other people. I gang, I hope you have a fantastic next few days. I'll upload the last three streams this week on all these platforms. Well, not everything going to SensorTube, but they will be all uploaded to BitShoot, Rumble, and Odyssey. And I'll see you guys on Discord and in our next set of streams. Bye, everyone.