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Compound of small stellated dodecahedron and great dodecahedron information


Great dodecahedron shown solid, surrounding stellated dodecahedron only as wireframe

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.

Compound of small stellated dodecahedron and great dodecahedron
great dodecahedron
Compound of small stellated dodecahedron and great dodecahedron
small stellated dodecahedron
Compound of small stellated dodecahedron and great dodecahedron
compound
Compound of small stellated dodecahedron and great dodecahedron
Compound of small stellated dodecahedron and great dodecahedron
Petrie hexagons of both solids

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Small stellated dodecahedron

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geometry, the small stellated dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {5⁄2,5}. It is one of four nonconvex...

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Great dodecahedron

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an easy mnemonic for the binary Golay code Compound of small stellated dodecahedron and great dodecahedron * Baez, John "Golay code," Visual Insight,...

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Compound of dodecahedron and icosahedron

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shape. Compound of two tetrahedra Compound of cube and octahedron Compound of small stellated dodecahedron and great dodecahedron Compound of great stellated...

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Compound of small stellated dodecahedron and great dodecahedron

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The compound of small stellated dodecahedron and great dodecahedron is a polyhedron compound where the great dodecahedron is internal to its dual, the...

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Compound of great icosahedron and great stellated dodecahedron

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are two different compounds of great icosahedron and great stellated dodecahedron: one is a dual compound and a stellation of the great icosidodecahedron...

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Dodecahedron

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are the small stellated dodecahedron {5/2, 5}, the great dodecahedron {5, 5/2}, and the great stellated dodecahedron {5/2, 3}. The small stellated dodecahedron...

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Regular dodecahedron

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vertices belong to a dodecahedron, is a stellated triacontahedron.) Another stellated icosahedron can at once be deduced, by stellating each octahedron into...

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Small stellated truncated dodecahedron

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geometry, the small stellated truncated dodecahedron (or quasitruncated small stellated dodecahedron or small stellatruncated dodecahedron) is a nonconvex...

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Truncated great dodecahedron

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polyhedron is the truncation of the great dodecahedron: The truncated small stellated dodecahedron looks like a dodecahedron on the surface, but it has...

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Polytope compound

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icosidodecahedron (compound of icosahedron and great dodecahedron) and the great complex icosidodecahedron (compound of small stellated dodecahedron and great icosahedron)...

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Excavated dodecahedron

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vertices and 30 of its 60 edges belong to its dodecahedral hull. The 30 other internal edges are longer and belong to a great stellated dodecahedron. (Each contains...

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List of mathematical shapes

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tetrahedra Compound of six tetrahedra with rotational freedom Compound of small stellated dodecahedron and great dodecahedron Compound of ten hexagonal...

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Great complex icosidodecahedron

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of different vertex figures. The great complex icosidodecahedron can be considered a compound of the small stellated dodecahedron, {5/2,5}, and great...

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Compound of two tetrahedra

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icosahedron Compound of small stellated dodecahedron and great dodecahedron Compound of great stellated dodecahedron and great icosahedron Cundy, H. and Rollett...

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Stellation

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obtain two regular star polyhedra, the small stellated dodecahedron and great stellated dodecahedron. He also stellated the regular octahedron to obtain the...

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Small complex icosidodecahedron

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very similar figure emerges as a geometrical truncation of the great stellated dodecahedron, where the pentagram faces become doubly-wound pentagons...

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Regular polyhedron

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cube and octahedron are dual to each other. The icosahedron and dodecahedron are dual to each other. The small stellated dodecahedron and great dodecahedron...

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Medial rhombic triacontahedron

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the compound of small stellated dodecahedron and great dodecahedron what the convex one is to the compound of dodecahedron and icosahedron: The crossing...

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Compound of cube and octahedron

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dodecahedron and icosahedron Compound of small stellated dodecahedron and great dodecahedron Compound of great stellated dodecahedron and great icosahedron Wenninger...

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Compound of five cubes

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regular compounds, and dual to the compound of five octahedra. It can be seen as a faceting of a regular dodecahedron. It is one of the stellations of the...

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Icosahedron

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faces. The intersections of the triangles do not represent new edges. Its dual polyhedron is the great stellated dodecahedron {5/2, 3}, having three regular...

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Regular icosahedron

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Three are regular compound polyhedra. The small stellated dodecahedron, great dodecahedron, and great icosahedron are three facetings of the regular icosahedron...

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Compound of five tetrahedra

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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 compound of five...

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Compound of ten tetrahedra

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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...

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Great icosahedron

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faces down to points, and producing the great stellated dodecahedron. The truncated great stellated dodecahedron is a degenerate polyhedron, with 20 triangular...

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Stellated octahedron

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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...

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