Sissid (first stellated dodecahedron) is built by 12 pentagrams. It has 6 fivefold and 10 threefold rotation axis. The edges of sissid can be connected by pentagrams (first number) and triangles (second number). Thus 13 polyhedra are created, grouped in the following way: 5 pyramidal and 1 antiprismatic polyhedron have a 5fold rotation axis, 3 pyramidal and 2 antiprismatic figures have a 3fold axis. There are two polyhedra with icosaedral symmetry, the great icosahedron (gike) and sissid itself.


Sissid-facetings by R. Klitzing:

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