Below, we see the first six levels of the Sierpinski Triangle -- that is, the starting point (any colored in triangle) along with the first 5 steps obtained by following the defining recursive rule.

Like the Koch Snowflake exhibits symmetry of scale -- no matter how much we zoom in, we always see the same level of complexity, or of detail. Because we see the same thing when we zoom in, we say it is self-similar.

This serves no mathematical purpose, but I thought it was cool:




Pascal's Triangle
Exploring the Mandelbrot Set

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