Compound of small stellated dodecahedron and great dodecahedron information
Polyhedral compound
The compound of small stellated dodecahedron and great dodecahedron is a polyhedron compound where the great dodecahedron is internal to its dual, the small stellated dodecahedron.
This can be seen as one of the two three-dimensional equivalents of the compound of two pentagrams ({10/4} "decagram"); this series continues into the fourth dimension as compounds of star 4-polytopes.
great dodecahedron
small stellated dodecahedron
compound
Petrie hexagons of both solids
and 26 Related for: Compound of small stellated dodecahedron and great dodecahedron information
geometry, the smallstellateddodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {5⁄2,5}. It is one of four nonconvex...
are the smallstellateddodecahedron {5/2, 5}, the greatdodecahedron {5, 5/2}, and the greatstellateddodecahedron {5/2, 3}. The smallstellated dodecahedron...
vertices belong to a dodecahedron, is a stellated triacontahedron.) Another stellated icosahedron can at once be deduced, by stellating each octahedron into...
geometry, the smallstellated truncated dodecahedron (or quasitruncated smallstellateddodecahedron or small stellatruncated dodecahedron) is a nonconvex...
polyhedron is the truncation of the greatdodecahedron: The truncated smallstellateddodecahedron looks like a dodecahedron on the surface, but it has...
icosidodecahedron (compoundof icosahedron andgreatdodecahedron) and the great complex icosidodecahedron (compoundofsmallstellateddodecahedronandgreat icosahedron)...
vertices and 30 of its 60 edges belong to its dodecahedral hull. The 30 other internal edges are longer and belong to a greatstellateddodecahedron. (Each contains...
obtain two regular star polyhedra, the smallstellateddodecahedronandgreatstellateddodecahedron. He also stellated the regular octahedron to obtain the...
cube and octahedron are dual to each other. The icosahedron anddodecahedron are dual to each other. The smallstellateddodecahedronandgreat dodecahedron...
regular compounds, and dual to the compoundof five octahedra. It can be seen as a faceting of a regular dodecahedron. It is one of the stellations of the...
faces. The intersections of the triangles do not represent new edges. Its dual polyhedron is the greatstellateddodecahedron {5/2, 3}, having three regular...
Three are regular compound polyhedra. The smallstellateddodecahedron, greatdodecahedron, andgreat icosahedron are three facetings of the regular icosahedron...
obtained by stellating the icosahedron, and is given as Wenninger model index 24. It is a faceting of a dodecahedron, as shown at left. The compoundof five...
icosahedron or a compound. This compound was first described by Edmund Hess in 1876. It can be seen as a faceting of a regular dodecahedron. It can also be...
faces down to points, and producing the greatstellateddodecahedron. The truncated greatstellateddodecahedron is a degenerate polyhedron, with 20 triangular...
shape of a stellated octahedron. They are 0, 1, 14, 51, 124, 245, 426, 679, 1016, 1449, 1990, .... (sequence A007588 in the OEIS) The stellated octahedron...