THE SIERPINSKI TRIANGLE

Music is "Show Your Moves" by Kevin MacLeod

Category:

Education

Tags:

• sierpinski
• triangle
• math
• pascal

[anticorncob6]

DID you know that if you color all the prime numbers on pascal's triangle, all prime numbers fall on two diagnals? I've proven it!

[Mozza314]

@anticorncob6 Makes sense. The two diagonals are those adjacent to the 1s on the outside right? Did you use the n!/((n-k)!k!) formula in your proof or something more subtle?

[brendansmith1252]

really not sure how i became subscribed to you... but wow lol too much math for me, my brain hurts

[Mozza314]

@brendansmith1252 It's likely you subscribed to @LaciGreen back when she had her youtube time capsule video featured. I got a lot of "piggy back" subscribers back then because I was in that list of other people to subscribe to when you (may have) subscribed to Laci.

[sign543]

Yikes. Hard as I try...I do NOT get math or geometry. You sound so smart! :)

[Mozza314]

@sign543 Do you get this video though? If not, which part troubles you?

[anticorncob6]

@Mozza314 It's similar, but different. The triangle numbers, tetrahedral numbers... all line up in the there. All triangular numbers above 3 are composite, because you use n(n+1)/2. If n is even, it's (n/2)(n+1) and if (n+1) is even, you use ((n+1)/2)*n. For tetrahedral etc, you use n(n+1)(n+2)...(n+k-1)/k! and logically prove that composite. On n(n+1)(n+2)/6, one number is even, and one divides by 3, and the third is neither so the top divides by 6 (and is LARGER then 6) this being composite.

[boie864]

Thanks Mozza! I looked all of the 10 minutes! Are you going to be a math tutor?

[Orygyn]

0:27-0:33 ZOMG! Triforce!

[sign543]

@Mozza314 No, I pretty much understand most of it. I do get lost easily when someone discusses math concepts. My brain has never worked that way. Even in college, had to have a tutor for math. History...that I can do. And earth science. NOT chemistry. MORE MATH! :)

[Mozza314]

@theradioschizo That was the plan :-D

[Mozza314]

@t3hsauce Interestingly, the 3D analog of the Sierpinski triangle is 2 dimensional. The surface area remains constant as each iteration you remove the same amount of area as you create.