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Sub-Categories in Polytopes

Higher Dimensional (7) Origami Polyhedra@ (13)

Polyhedra (39) Software (8)

Web Sites in Category Polytopes

Polygons, Polyhedra, Polytopes - Regular, rectified, and truncated polytopes with normal and hidden-detail-removed projections. Images, animations, and links.

Guy's Polyhedra Pages - Vertex figures, filling, faceting diagrams, stellation, defining polytopes through generators, trimethoric and trisynaptic polyhedra, space-filling polyhedra, lost stellations of the icosahedron, and links.

Numericana - Polyhedra & Polytopes - Enumeration, cartesian coordinates of vertices, naming, and counting the shapes.

Polyhedra, Platonic Solids, Polytopes - Definitions, pictures, templates, and coordinates of the regular 3d and 4d polytopes. Also includes waterman polyhedra, polar and star spheres, and the time star.

Regular Polytopes - Derivation of volume equations for regular polygons, polyhedra, and polytopes, with images.

Sliceform models by John Sharp - Three-dimensional objects constructed by slotting together a series of planar cross sections made from card. Downloadable templates in PDF, PS and Word formats.

The Charged Particles Model - Polytopes and optimal packing of p points in n dimensional spheres. Contains a java applet based on a model which allows for generation of multidimensional regular and semi-regular polytopes.

The Geometry Junkyard - Comprehensive list of links to sites on geometric properties of the shapes.

The Mathematical Atlas - Polytopes and Polyhedra - Collection of discussions regarding volume, vertices, dissection, g-holed tori, and other subjects.

Zome Edu - An educational toy and industrial tool to teach geometry and model complex and simple shapes, from cubes to Fullerenes.

Related Categories:

Science > Math > Geometry > Sculpture and Art

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