MATH!!!!!

[jdllama]

http://video.google.com/videoplay?docid=5145039474895168675&hl=en

MATH

Comments

[maxgoof]

Okay, now you are talking MY language.

I'm curious what's going on. Is it translating the integers into reals, adding them, then translating back into integers, or what?

The mere fact that Pascal's triangle follows the Serepinsky pattern is a bit of a surprise to me, but I guess it should not be.

As you probably know, Pascal's triangle represents the coefficients of binomial expansion, right?

If you take the last line of any triangle, and turn it vertical, then multiply each of the lines with the corresponding number of the last line, you end up with the coefficients of trinomial expansion.

For example:

1 x 1 = 1
1 1 x 4 = 4 4
1 2 1 x 6 = 6 12 6
1 3 3 1 x 4 = 4 12 12 4
1 4 6 4 1 x 1 = 1 4 6 4 1

Those represent the coefficients for (a+b+c)^4

[gh0stly_d3th]

well, I can tell you that the noise waves are called a "morie pattern" its common with CRT displays, you might be able to cross reference why it does it. I aint a programer, but I know my morie effect/pattern when I see it. XD You are right sir, this is facinating.

[piluso]

Did you use the Binomial Theorem to generate the sequences?

Interested in doing this in Maple...

[piluso]

Also...confused about why you said "Go Chaos Theory" this looks like a static system to me anyway...even though I presume you used a Chaos Game method for iterations to create these shapes...

Or am I fucking up?

[jdllama]

"Go Chaos Theory" because I've been reading up on it recently, and how it says there can be a system with patterns, and the patterns can break down...and then make completely different patterns.