Thursday, March 29, 2012

modulo phyllo

These pictures show some number patterns in phyllotaxis spirals. The one labeled modulo 17 above has points whose index is a multiple of 7 (these are equivalent to 0 modulo 7) shown in black and all other points shown in gray.

These are related to the pictures in the last post, as when you look at primes, what you see are all the numbers that are left over when you have removed all the integers greater than 1 that are not divisible by another integer - or all the x's not congruent to zero modulo some other y.

Note: see this next post for coloring templates that you can use to make your own spirals.