 let me take this one. Hey guys, it's MJ the Student Actory and tonight we're going to be talking. Hey guys, it's MJ the Student Actory and I just got a... Hey guys, it's MJ the Student Actory and we're going to be looking at um... Hey guys, it's MJ the Student Actory and we're going to be looking at the secrets of the magic pentagon in this video and a magic pentagon is probably something you haven't heard of before I mean if you had to Google it you'll get this type of picture and you'll see that there's only one real magic pentagon or magic shape in the means of the mathematical term and that is that second picture over there so what I did was because I searched magic pentagon for some reason and I stumbled across this thing and so I clicked on it I went to this really cool website called fertility closet they've got a whole bunch of weird mathematical things I recommend you go check it out but they talk about this magic pentagon and they they talk about it in the certain book that this guy Edward wrote called games ancient and Oriental and how to play them quite a long title anyway so I went and I got the book okay and in the book there's just a single page on this magic pentagon and what it says it says it will be observed that the five sides of each pentagon are all equal and that the five diameters from one angle to the center of the opposite side are each 459 which is nine times the central number of 51 which is also the mean number and the series being between 1 and 101 so basically what they've done is they've taken the numbers from 1 to 101 and they've used each one once and they've arranged it in this formation that resembles a pentagon and each layer all the sides are equal to each other and the diameters are all equal to the other diameters so at first I didn't believe it I was like no I need to I need to check this out so I got my little S pen out and you could see all the sides actually did equal I mean the inner the inner one was 156 the outer was 268 then 385 and then 507 on all of those but this kind of set me though because I mean each diagonal or diameter whatever was equal to 459 and I was thinking why can't the final layer or the fire final parameter instead of equalling 507 why couldn't that equal 459 this this bothered me I wanted I wanted the numbers to I wanted it to be more perfect more magical so that was my task and that's what I'm going to show you guys how I made this Pentagon even more magical so first thing I did and I'm going to tell you guys how I did it so step one was I got my magic Pentagon and now remember I want to try and keep all those other principles intact I want all the layers to equal and all the diameters or diagonals to also equal but the first thing I wanted to do was I wanted to flip the corners okay so as you can see the blue numbers and what I mean by that is I made the this because you'll see there's a hundred and that links to one or 101 and that links to four you know you've got those numbers there what I wanted to do was switch those around so that your small numbers are at the corners this is on my journey to make it equal to sum to 459 and by doing so the diagonals are still equal to 459 because I've just switched switched them around okay but that doesn't equal 459 if you add them up you'll see it's like 410 for some 413 so we need to do step two so step two is we're going to now switch the numbers between the layers so you can see all those numbers in red well what I did was I shook them up and I switched them around so I switched the 59 the 13 I switched what did I switch the 12 with the 12 with the 58 and so on like that and the reason why I had to switch a number in each of the layers was that they all so now that I think it's that kind of red that middle one those all sum to 222 but my outer layer still wasn't equaling the the magic number of 459 it's quite I found it was quite quite difficult to do this but I had a plan and what I did was I just calculated or I summed up all the the diameters and I saw that they equal 2285 also all my sides were equal to 2285 and the diagonals were equal to 2295 so what I needed to do was I needed to make the black parameter greater by 10 so what I did was I did a little bit of shuffling around again and I switched the 16 with the number 26 this means that when I sum all my sides of the black parameter I'm going to get that 2295 however we now need to equalize the final layer because if we look now they're not all equaling 459 and how we would do that or how I got it was I decided to rotate the numbers around so I rotate the numbers around and the ones I moved around I've highlighted in yellow and I've moved those and you can check and that now they all sum to 459 so I'm very happy but by doing so I've disrupted the middle parameter well the middle pentagon so what what we need to do is we need to go and equalize that in a layer likely I just took 10 out of it and 10 divided by 5 is 2 which means I just had to shuffle just a little bit of it around and yeah get that done so that they all were equal so you can see before they were equal to 385 because it was 10 so it's 2 per side they would now sum to 383 and you are the ones in black are the numbers that I rearranged and how do I rearrange the numbers it was basically just oh what happens if I move this one there what happens if I move this one there it wasn't any formula or anything it was just basically playing around with the numbers but I was very careful not to play with the middle numbers of each parameter because they would upset the diagonals all the ones in the corners so it didn't touch those those are my only limits and job there we go we've got our magical pentagon and not only do each pentagon that each color not only do all their sides equal so they magic pentagons but the final layer and the diagonals are also all the same numbers of 459 so I'm very happy with that but please double check I mean it would be kind of kind of awkward and embarrassing if I've doubled up on a number or one of the sides don't equal so just check them and let me know in the comment section if it is correct I've just done this one tonight but one that I did spend a little bit of time on was I decided to double up on this pentagon and I managed to make a really big one so this one was between the numbers of one and two hundred and eleven and you can see this has got I don't even know how many they are say like one two three four five there's like six or seven pentagons within that and they follow all the principles each parameter of each pentagon equals each other and the diagonals they all sum to one three seven eight which is also the side or the sum of the parameters of the final pentagon and one three seven eight is eleven times the middle number which is also kind of cool so why was I doing this and you can see I've got my cool little signature the reason being is there was an artist who I found was on holiday who just really inspired me I'm not even gonna try and pronounce his name it's yeah some German I think it's German so you can see that's why I did my signature with the M and then the J in between because that's how he did his signature with the A and the D and he made this magical square which is not as cool as the pentagon because pentagon's got an extra side but this square is very very interesting the more you look at it the more you add it up the more you just like you get blown away by the principles and the properties of the square so check that out I'll let you do it it's quite a fun thing to do but very very awesome and this was done in the year 1514 which he even managed to put in at the bottom you can see 1514 was the date he made it so he did this before the age of Excel which is really really cool so and what this artist also used to do is what people believed that used to do was he used to hide hidden wisdom in his art which also intrigues me a bit so what I've done and what I'm gonna leave you guys with is a little painting I did there is a secret code or a secret message hidden in this painting it's very simple it shouldn't take you too long to decipher and just let me know in the comment section when you've got it don't write the answer in this comment section because that will ruin it for other people and when you get the message you'll know it's correct because then the whole picture will make sense so good luck with that and y'all don't don't ruin it in the comment section but do let me know if you get it just come you like I got it give me another one or whatever like that and y'all that is my video on the magic pentagon the secrets revealed and how you can perfect it and y'all guys thanks so much for watching I hope you enjoyed this video I'm hoping it was a little bit groundbreaking because they're these pentagons aren't that common you can see when we googled it there was only that one and we have made it even more magical now so share this video with your friends and for everybody who likes mathematics and the the awesome properties of numbers and this is also another reason why you should study actuarial science because it gives you this awesome ability to make these magic pentagons which we all know is a very important skill in today's society jokes aside hope you guys have an enjoyable day and subscribe for some more videos cheers