The 120 edges of the gaddid (great dodecicosidodecahedron) can be connected by pentagrams (first number), triangles (second number), decagrams (third number) and squares (fourth number). In the gaddid there are only 12 pentagrams, 20 triangles and 12 decagrams. 30 polyhedra are possible. With a 3-fold rotation axis there are 11 pyramidal and 3 antiprismatic, with a 5-fold rotation axis there are 10 pyramidal and 3 antiprismatic shapes. Three polyhedra are icosahedral. These are the great rhombidodecahedron (gird), the great rhombicosidodecahedron (qrid) and the gaddid itself.

symmetry: icosahedral
click on the picture for VRML-solid, on the text for VRML-frame


Further gaddid-models by R. Klitzing:

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