siid-facettings

In the siid (small icosicosidodecahedron) there are 12 pentagrams (first number), 20 triangles (second number) and 20 hexagons (third number). Furthermore decagons (fourth number) can be constructed. Thus, 14 more polyhedra appear, having the same edge skeleton. There are 6 pyramidal polyhedra with a 3-fold rotation axis and 6 are pyramidal ones with a 5-fold rotation axis. The siid and two more polyhedra are icosahedral. These are the small dodecicosahedron (siddy), the small ditrigonal dodecicosidodecahedron (sidditdid).

symmetry: icosahedral

click on the picture for VRML-solid, on the text for VRML-frame
siddy |
sidditdid |
siid |
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Further siid-models by R. Klitzing:

or back to the garden door