History of Polyhedron

	Revision 14 . . (edit) November 7, 2001 10:25 pm by Josh Grosse
	Revision 13 . . (edit) October 27, 2001 1:07 am by Cwitty [Suppress inadvertent links]
	Revision 8 . . (edit) September 9, 2001 2:05 pm by Josh Grosse [How did I type five as eight?]

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Difference (from prior major revision) (minor diff, author diff)

Added: 0a1,2

A Polyhedron is a shape, made up of faces. 'Poly-' is from the Greek word for 'many' and '-hedron' is a Greek combining form meaning 'base', 'seat', or 'face'.

Changed: 5,10c7,12

Vertices Edges Faces Edges/Face? Edges/Vertex? Symmetry group Tetrahedron 4 6 4 3 3 Td Cube 8 12 6 4 3 Oh Octahedron 6 12 8 3 4 Oh Dodecahedron 20 32 12 5 3 Ih Icosahedron 12 32 20 3 5 Ih

Vertices Edges Faces Edges/Face Edges/Vertex Symmetry group Tetrahedron 4 6 4 3 3 Td Cube 8 12 6 4 3 Oh Octahedron 6 12 8 3 4 Oh Dodecahedron 20 32 12 5 3 Ih Icosahedron 12 32 20 3 5 Ih

Changed: 14c16

Polyhedra which are vertex- and edge-uniform, but not necessarily face-uniform, are called quasi-regular and include two more convex forms (the cuboctahedron and icosidodecahedron, as well as a few non-convex forms. The duals of these are the edge- and face-uniform polyhedra: the [rhombic dodecahedron]?, [rhombic triacontahedron]?, plus whatever the non-convex ones are.

Polyhedra which are vertex- and edge-uniform, but not necessarily face-uniform, are called quasi-regular and include two more convex forms (the cuboctahedron and icosidodecahedron, as well as a few non-convex forms. The duals of these are the edge- and face-uniform polyhedra: the [rhombic dodecahedron]?, [rhombic triacontahedron]?, plus whatever the non-convex ones are. No other convex edge-uniform polyhedra exist.

Added: 18a21,23

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