Pictures of polyhedron models
It was proved in 1976 that, excluding the prisms and antyprisms, there
are only 75 uniform polyhedra. A careful description of these was made
in Coxeter et al. (1953).
To make them, I have mostly used the nets in
in Magnus Wenninger's "Polyhedron Models" (Cambridge). So far I have
built 60 of these polyhedra, most of them appear below. Click
on the picture if you want to see an enlarged version of it.
In these pictures, all triangles are red, all squares are green, all
pentagons are dark blue, all hexagons are yellow, all octagons are
pink, all decagons are light blue, all pentagrams are gold, all
octagrams are a lighter shade of pink and all decagrams are
brown. These are the colors used in
Roman
Maeder's website.
If a uniform polyhedron has a single type of face (i.e., a
single color in this collection) then by definition it is regular.
Some of the complex, non-convex polyhedra with icosahedral symmetry.
The image above shows mainly Archimedean
polyhedra with icosahedral symmetry. Among these are two regular
polyhedra: the icosahedron (all in red) and the dodecahedron (all in
dark blue). Below, we can see a picture with all the archimedean
polyhedra together.
A severe polyhedral storm!
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