Some very crude art, using Microsoft Paint...
The five platonic solids:

Tetrahedron (4 triangles)
Hexahedron (i.e., cube) (6 squares)
Octahedron (8 triangles)
Dodecahedron (12 pentagons)
Icosahedron (20 triangles)

...and one of the
13 Archimedean solids:

Icosidodecahedron (20 triangles, 12 pentagons) ("halfway" between the icosahedron and the dodecahedron).

For the other Archimedean solids [
such as, e.g. the rhombitruncated icosidodecahedron and other delights], with much better pictures than these, click on the Wikipedia links above.
ARRGH!!! Beware!! This is what happens if you do too much MATHS...
...and this is what happens if you spend too much time on the computer.
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