Polytopes, Zonohedra, Zonotiles, Mathematica notebooks
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|Some of the author's endeavors in geometry, including studies of zonohedra, polyhedra, space-fillings, polytopes in higher space, and the discovery of new types of polyhedra and space-fillers. Mathematica notebooks are provided which create these kinds of objects, including a notebook ("Regular Polytopes.nb") that constructs all the regular polytopes in four or more dimensions, allows one to make solid sections and projections of the 4-polytopes, perpendicular to an arbitrary vector, and implements "hidden-detail-removed" projections of 4-polytopes into a 3-space. any of the uniform polytopes in four dimensions are also constructed.|
|Math Topics:||Higher-Dimensional Geometry, Polyhedra, Euclidean Plane Geometry|
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