Differential Geometry and Geometric Structures
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Students' Work: Pascal's Pyramid

Illustration

The array of trinomial coefficients can be arranged in Pascal's pyramid, which is built from translates of a given rhombic dodecahedron. Upon choosing a positive integer m one may remove all rhombic dodecahedra whose corresponding trinomial coefficient vanishes modulo m. This gives a fractal in three dimensional space. The picture illustrates the case m = 2.

Created by Angela Orth (2012) using POV-Ray - The Persistance of Vision Raytracer.

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Last modified on February 18th, 2016.