Differential Geometry and Geometric Structures
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Students' Work: Platonic Solids

Illustration

The cirumsribed sphere of an icosahedron passes through all the 12 vertices. The midsphere of an icosahedron touches each of the 30 edges (at the midpoint of the edge).

Created by Katharina Kausel (2012) using POV-Ray - The Persistance of Vision Raytracer.

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Archimedean Solids
Cockles
Confocal Quadrics
Dupin Cyclides
Elliptic Linear Congruence
Geodesics on a Cone
Helices on a Helicoid
Hyperosculating Spheres
Impossible Objects
Klein Bottle
Knots
Menger Sponge
Möbius Tetrahedra
Pascal's Pyramid
Pipe Surfaces
Planar Sections of a Torus
Platonic Solids
Prince Rupert's Cube
Saddle Surfaces
Schwarz Lanterns
Snails
Spherical Loxodromes
Stationary Points
Striction Curves

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Last modified on February 18th, 2016.