A family of (maybe) infinite fractal patterns hiding in pascals triangle

  • 0 Replies
  • 63 Views

0 Members and 1 Guest are viewing this topic.

Offline DeusDarker

  • *
  • Fractal Fanatic
  • ***
  • Posts: 21
  • Infinite complexity in finite space
« on: June 30, 2020, 04:33:40 AM »
Its common knowledge to anyone who is a fan of abstract math that pascals triangle is a fun pattern filled number triangle. its also common knowledge that sirpinskis gasket can be generated by taking mod 2 of pascals triangle.what is truly facinating is that you can take the modulus of any number and get a triangle fractal,and they all seem to be different from eachother! here is a collage of mod 2-8. now something i really dont know but want to find out is if there are an infinite family of different patterns, or if it starts to recycle after a certain mod (for example primes seem to share a similar pattern)

Linkback: https://fractalforums.org/share-a-fractal/22/a-family-of-maybe-infinite-fractal-patterns-hiding-in-pascals-triangle/3631/


xx
Fractal tree family

Started by TGlad on Fractal Mathematics And New Theories

10 Replies
1007 Views
Last post April 12, 2018, 12:41:27 PM
by TGlad
xx
Fractal Community Family Crest

Started by 1Maniac on Fractal Image Gallery

0 Replies
177 Views
Last post September 08, 2017, 05:02:09 PM
by 1Maniac
xx
Scientists discover fractal patterns in a quantum material

Started by Fraktalist on Physics

1 Replies
220 Views
Last post November 02, 2019, 08:26:12 AM
by hgjf2
xx
Triangle symmetry

Started by Nintendokater on Fractal Image Gallery

0 Replies
112 Views
Last post April 18, 2020, 05:55:11 PM
by Nintendokater
xx
Sierpinski triangle

Started by v on Programming

3 Replies
675 Views
Last post September 05, 2017, 10:41:02 PM
by claude