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Theory.org Geometry/Topology
Construction of the Hyper-Dodecahedron
A construction of the Hyper-Dodecahedron, or 120-cell, a four dimensional polytope that is the analogue of the regular dodecahedron in three dimensions.
The Sphere in Three Dimensions and Higher: Generalizations and Special Cases
A senior thesis in mathematics, outlining some generalizations about the sphere in higher dimensions, and some specific structures on the three-sphere.
Truncated Trickery
An investigation into the tilings of n-dimensional spaces by n-dimensional regular polyhedra, n > 2.