Higher Dimensional Polytopes Geometry

Higher Dimensional Polytopes Geometry

Higher Dimensional

Higher dimensional polytopes are those of dimension four or higher. Four-dimensional polytopes in particular are called polychora.

Top: Science: Math: Geometry: Polytopes: Higher Dimensional

- Java applets that show intersections, morphing, and stereoscopic renderings of four-dimensional polytopes and optical illusions.
- Tabulates the convex uniform (Platonic and Archimedean) polychora.
- Explains the properties of the hypercube and hypertorus. Shows models and video clips. Includes information on how these images were created using software and mathematics.
- An interactive Java Applet displaying a five dimensional cube.
- Java applets to view the shapes by rotating them.
- Introduces four-dimensional polytopes through fold-outs and java applets that demonstrate slicing.
- Some images, and the naming scheme that the author has used to categorize over 8000 of these shapes with.

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