Sunday, September 18, 2016

Sierpinski Triangle

Branching off from the 3D printing, I've been organizing my thoughts and trying to come up with ways of presenting mathematical information in a way that is understandable. For this, I used the Sierpinski triangle and sort of color coded it to show how to determine the number of triangles you are left with. In this picture, "r" represents the iteration you are on, and "n" is the number of triangles.

While I was creating my variation of the triangle, I thought about what would happen if I combined Pascal's triangle with permutation (Sierpinski's triangle can be created through Pascal's triangle). So with this in mind, I plan to create another triangle based on this theory.

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