notes about patterns(inspired by Fractal Foundation book)

 spiral:

https://en.wikipedia.org/wiki/Archimedean_spiral

y=a+b*t

t-represent time(angle)

a,b -coefficients of shape

https://www.shadertoy.com/view/mdBfD1

triangle:

https://en.wikipedia.org/wiki/Sierpi%C5%84ski_triangle

original algo:

1)draw triangle

2)split edges(equal)

3)connect triangle

4)move deep to the next triangle and repeat

https://www.shadertoy.com/view/cd2fD1

set:

https://en.wikipedia.org/wiki/Mandelbrot_set

z(new)=z(old)^2+c (vector numbers)

exist vizualization algorithms

https://www.shadertoy.com/view/DsjBWw

symmetry:

*for set:

https://www.shadertoy.com/view/DdjfRG

exist two types: 

algebraic(for example ^2)

geometric(algebraic formula - a=|a|)