Interactive Lab
Pascal's triangle modular sieve
Color each entry of Pascal's triangle by its value modulo a chosen prime. Modulo 2 reveals Sierpinski's triangle. Modulo 3, 5, 7 create increasingly intricate fractal patterns — a surprising bridge between combinatorics and fractal geometry.
C(n, k) mod p — binomial coefficients modulo prime
Pascal mod p
Modulus
Palette
Rows
256
Triangle stats
Modulus (p)5
Total rows256
Total entries33,153
Zero entries0
Zero fraction0%