 In the last video, we went into Dirk's studio and he showed us how he was putting together one of his paintings, setting up a coordinate system, breaking up his canvas, his painting into four different quadrants, introducing the lines, angles, objects, elements into his painting. One thing he showed me during that process that sort of blew me away because as soon as he started showing it to me, I sort of went, that's mathematics, that's something I've worked on with my students. And if you've done grade eight or grade nine mathematics, you would have seen this, which is basically the concept of similar triangles, similar objects really, where one object is just a smaller version of another object. And once Dirk showed me this, he sort of opened up a few doors for me because all of a sudden I realized, you know, the walls that I use to do my mathematics are basically my canvas. And I sort of realized that I can start introducing depth into these videos. So, you know, walking around, I found this nice little place where we can actually introduce a little depth. And I'm going to show you how this concept works. And it's basically something that we've covered in series one, the concept of similar triangles, and using cross multiplication, something we talked about in series three. A, a two-solving equation. Okay, so what we're going to do is go to Dirk's studio right now from the previous session that we had with Dirk, and he's going to show us this little method that he uses to introduce objects before he actually starts putting, you know, drawing the stuff onto his canvas just to make sure he wants, he wants that element in his painting. Okay. And as soon as we're done with Dirk, as soon as he shows us how he's put together, how he uses this method to introduce objects into his painting, what we're going to do is come back here and do a little experiment and see if it works out. Composition, you know, with this, like this, and with this sort of covered, but I might just, you know, you do like this again. Oh, so what are you, you hold it up? Oh my god. You know, right? That's cool. I never even thought about that. All right. But you hold something up so that, you know, you can imagine it without, you know, like actually doing it. Doing it. This is funny, right? This thing's like, you close your eye, right? You close one eye. You close one eye for sure. Yeah, yeah. That way you have one view going in. Exactly. Just all perspective. And it's cool. Here, let's show this. Yeah, this is, you know, actually, let's do this. Let's do this with the camera. Let's do this with the camera. See this? Mm-hmm. All you do with the perspective. Yeah, there are sort of, right? Yeah. You can see what it looks like before you work. Yeah. On your painting, right? Exactly, yeah, because that's one of the first things I put on there. Yeah, that's brilliant. That's awesome. You can move it around and move it in different places, do whatever you want with it. Mm-hmm. So what Dirk ended up showing us was basically the concepts that we talked about in series one, which is similar triangles. And the way we can use this method to do our little homework is basically try to draw something on this wall. And this wall is closer to the camera than this wall. Okay. So what we're going to do is draw something here, which is going to be a happy face. It's the simplest thing I can think of dry. Happy face over here instead of a triangle. And we're going to try the happy face over here. And this happy face is going to be bigger than this happy face. But on the camera, they're going to look to be approximately the same size. Hopefully, anyway, this is our homework. This is our little experiment that we're going to try to do, right? So what we need to do is do some measurements. And the measurements we need is basically the distance from the lens from this point here to this wall over here, right? And from the lens to this wall over here. And what we're going to do with that is that's going to be our anchor point, what we've talked about, and what we are talking about in series four, which is basically units and ratios, because this is what we're going to use. We're going to use ratios to be able to draw our objects, our happy faces, so they actually look to be the same size, even though they're different sizes. So what we need right now is basically the distance from the lens to the first wall. So we're going to measure this 320 centimeters. So the distance from the lens to the first wall is 320 centimeters. And I'm going to be using metric, because metric is a lot easier to deal with than Imperial. So 320 centimeters. And what we need now is the distance from the lens to the back wall, 530. So 320 and 530. So the distance from the lens to the first wall is 320 centimeters. And the distance from the lens to the back wall is 530 centimeters. So what I'm going to do right now is draw our happy face on this guy over here, and then we'll lay out our problem or cross multiplication equation that we need to solve to be able to draw the circles to be look similar, but one bigger, one smaller. So I can fit a happy face, which is approximately 40 centimeters in diameter, right? Because it's going to be a circle going across 40 centimeters in diameter. And what we're going to do is try to put it at the same height as the lens. So here, I'll show you what the distance is. So this guy is approximately 145 centimeters in height. So 145 centimeters in height. So let's do this. So this is the height of the camera lens, because what we're going to try to do is make it a triangle with the with the line of sight coming across like this, straight out, right? So we want that to be the center of the circle. So 145. So this thing, the diameter of the circle is going to be 40, and the center of that is going to be 20. So that's the center of our circle. So what we're going to do is the diameter of this thing is 40 centimeters, right? So the radius is 20 centimeters. The distance from the lens to the first ball was 320 centimeters. The distance from the lens to the back wall was 530 centimeters, right? And that's going to be our conversion ratio, right? That's going to be our fraction that we're going to use, right? So what we're going to do is, so what we're going to do is set it up as a fraction equal to, it has to be proportional to the diameter of this versus the diameter of the back wall, the diameter of the circle that we're going to put on the back wall, and that's the unknown. So we're going to set up our little equation over here. So let's use a blue chalk to do the little calculation, okay? Oh, sorry. Oh, fish. Ah, that's cool. Can you show? Can you show the camera? No, please. No, no, please, please. Please, let's see. That's cool. Thank you. So what we've got, the ratio that we're using is going to be 320 divided by 530. Hopefully that comes out. But 320 divided by 530, and that fraction has to be proportional to the diameter of this circle versus the diameter of the other circle that we're going to draw, right? So that's the other fraction that we're going to set up. So that has to be equal to the other ratio, the other fraction. So 320 divided by 530 has to be equal to 40 divided by X. X's are unknown, right? So what we're going to do is basically use cross multiplication, which is just basically grab the X, bring it up here, and grab 530, kick it up there, right? But before we do this, what we're going to do is simplify our fractions first, right? Simplify before you start solving stuff because smaller numbers are easier to deal with than bigger numbers. So the zero is going to kill zero here, right? Those two zeros are gone. So it's basically 32 divided by 53 is equal to 40 over X. So we're going to grab this guy, kick it up, and we're going to grab this guy, kick it up here. So what we're going to end up having is 32X is going to be equal to 53 times 40. So what we have right now is going to be 32X is equal to 53 times 40. Now 53 times 40, you can do this by hand, but I brought a little calculator because I'm limited with the amount of space I have, right? But you should know how to multiply, you should know how to divide, add, and subtract, and again, series one, that's where we recover that stuff, right? Basic mathematics. So 53 times 40, that gives us 2,120. So 2,120 divided by 32 is going to give us 66.25. And that's the diameter of the circle that we're going to have. We're going to need to make sure that this happy face is going to be proportional to the other happy face, right? So the answer, you know, when we solve for this, it's just going to be 66.25. And we're just going to round it down to 66, right? So the diameter, the circle that we need is going to be 66 centimeters. And that's what we're going to draw over here. Good morning. So what we're going to do is use green chalk and draw a little happy face over there, 66 centimeter diameter. So 66 divided by 2 is 33. That's going to be our center. And what we need is another one this way. This is how big the circle is compared to my head. And this is how big the circle is compared to my head. So that's basically it. That's what Dirk ended up showing me and, you know, all of a sudden came to my mind to do something like this just to try it out, just to see if it works with a camera lens, right? Allowing me to add depth to my videos. What we're going to do right now is basically I've already gone back and talked to Dirk. I've already gone to his studio and he's shown me some of the other stuff that he's working on. And what he's been doing is introducing the golden rectangle to his drawings, to his paintings, to his design, to his structures. So we're going to talk about the golden rectangle and I've come across it through the Fibonacci sequence. So we're going to talk about the golden rectangle, the Fibonacci sequence and take a look at some of the other work that Dirk has been working on. I'll see you guys in the next video. Bye for now. After that, I'm going to take the paintbrush, you know, in this case it's an orange line. Yeah, yeah. So I, you know, find the line on the canvas that I just, you know, made with exactly knife and I just, you know, paint it in, you know. So how sharp is, what are you painting in with? Is it ink or is it paint? No, it's like oil paint. It's oil paint. You're using oil paints? And this is, you know, the brush I use, it's a very, very thin one like that. Oil paints? And this is, this is how, like, I don't even see, like, that's my finger beside here. I'll put my nail behind it. That's how, that's how thin it is, right? So, so this, you know, a thing, then I just, you know, find the other side of the line and just, you know, color it in. And it's, you know, basically it's very, you know, simple work. And it's boring as hell. You know, the idea comes like, like in, you know, three minutes. The execution, you know, takes like a month or two months or three months or five years for, well, this one is special. This one is special. This one is special. Yeah, this one is special. Yeah, yeah, five years, you know, with the, with the texture in the background. Yeah, yeah, five years of texture. Yeah, that's right, the texture in the background. So basically something like this, can you guys see this? Yeah, you can. Something like this would take you a few months to do. Yeah, honey, that would take me maybe, you know, three months to do. Three months to do. Well, yeah, three or four months, you know, depending if I'm working on it every day. Okay. If not. Fun. I'm the nerd. Here's my, I mean, I'm like this, you know, because I can't see properly either. So I'm like that. Do you usually paint the edges of the line and then come back with a thicker brush and go through, you know, you're doing the whole thing, everything right away. Because I believe, like if you paint the painting, you know, like with one brush, yeah, also, that also, you know, you know, helps, you know, the whole thing, you know, you pull yourself together. Consistence, stay consistent. So each brush is different. Yeah, brushes different, brushes act differently. They hold the ink, they hold the oil differently. Yeah.