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Compound of dodecahedron and icosahedron information


First stellation of icosidodecahedron
Type Dual compound
Coxeter diagram
Stellation core icosidodecahedron
Convex hull Rhombic triacontahedron
Index W47
Polyhedra 1 icosahedron
1 dodecahedron
Faces 20 triangles
12 pentagons
Edges 60
Vertices 32
Symmetry group icosahedral (Ih)

In geometry, this polyhedron can be seen as either a polyhedral stellation or a compound.

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Compound of dodecahedron and icosahedron

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polyhedral stellation or a compound. It can be seen as the compound of an icosahedron and dodecahedron. It is one of four compounds constructed from a Platonic...

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Regular icosahedron

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The regular icosahedron has many relations with other Platonic solids, one of them is the regular dodecahedron as its dual polyhedron and has the historical...

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Regular dodecahedron

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A regular dodecahedron or pentagonal dodecahedron is a dodecahedron that is regular, which is composed of 12 regular pentagonal faces, three meeting at...

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Dodecahedron

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great icosahedron {3, 5/2}. All of these regular star dodecahedra have regular pentagonal or pentagrammic faces. The convex regular dodecahedron and great...

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Compound of two tetrahedra

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

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Compound of great icosahedron and great stellated dodecahedron

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There 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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List of mathematical shapes

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Compound of cube and octahedron Compound of dodecahedron and icosahedron Compound of eight octahedra with rotational freedom Compound of eight triangular...

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Great dodecahedron

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geometry, the great dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol {5,5/2} and Coxeter–Dynkin diagram of . It is one of four nonconvex regular...

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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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Rhombicosidodecahedron

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as an icosahedron and the same number of pentagons as a dodecahedron, with a square for each edge of either. Alternatively, if you expand each of five...

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Compound of five tetrahedra

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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 tetrahedra...

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Icosahedron

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polyhedron is the regular dodecahedron {5, 3} having three regular pentagonal faces around each vertex. The great icosahedron is one of the four regular star...

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Medial rhombic triacontahedron

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dodecahedron and great dodecahedron what the convex one is to the compound of dodecahedron and icosahedron: The crossing edges in the dual compound are...

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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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Regular polyhedron

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great dodecahedron are dual to each other. The great stellated dodecahedron and great icosahedron are dual to each other. The Schläfli symbol of the dual...

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Small complex icosidodecahedron

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icosidodecahedron can be seen as a compound of the icosahedron {3,5} and the great dodecahedron {5,5/2} where all vertices are precise and edges coincide. The small...

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Compound of ten tetrahedra

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The compound of ten tetrahedra is one of the five regular polyhedral compounds. This polyhedron can be seen as either a stellation of the icosahedron or...

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Great icosahedron

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icosahedron. The process completes as a birectification, reducing the original faces down to points, and producing the great stellated dodecahedron....

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Great rhombic triacontahedron

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

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Small stellated dodecahedron

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the great icosahedron, with which it forms a degenerate uniform compound figure. It is the second of four stellations of the dodecahedron (including...

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Icosidodecahedron

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is the compound of a dodecahedron and its dual icosahedron, with the vertices of the icosidodecahedron located at the midpoints of the edges of either...

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Stellation

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stellated dodecahedron and great stellated dodecahedron. He also stellated the regular octahedron to obtain the stella octangula, a regular compound of two...

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Great complex icosidodecahedron

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number 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 small stellated dodecahedron and great dodecahedron

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as compounds of star 4-polytopes. Compound of two tetrahedra Compound of cube and octahedron Compound of dodecahedron and icosahedron Compound of great...

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List of Tron characters

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between the compound of dodecahedron and icosahedron and the small triambic icosahedron (the first stellation of the icosahedron). When the Bit says the...

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Pentagonal polytope

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compounds; In two dimensions, a decagrammic star figure {10/2} is formed, In three dimensions, we obtain the compound of dodecahedron and icosahedron...

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