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Compound Of Five Octahedra
The polyhedral compound, compound of five octahedra is one of the five regular polyhedron compounds. This polyhedron can be seen as either a polyhedral stellation or a Polyhedron compound, compound. This compound was first described by Edmund Hess in 1876. It is unique among the regular compounds for not having a regular convex hull. As a stellation It is the second stellation of the icosahedron, and given as List of Wenninger polyhedron models#Stellations of icosahedron, Wenninger model index 23. It can be constructed by a rhombic triacontahedron with rhombic-based Pyramid (geometry), pyramids added to all the faces, as shown by the five colored model image. (This construction does not generate the ''regular'' compound of five octahedra, but shares the same topology and can be smoothly deformed into the regular compound.) It has a density of greater than 1. As a compound It can also be seen as a polyhedral compound of five Octahedron, octahedra arranged in icosahedral s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Compound Of Five Octahedra
The compound of five octahedra is one of the five regular polyhedron compounds. This polyhedron can be seen as either a polyhedral stellation or a compound. This compound was first described by Edmund Hess in 1876. It is unique among the regular compounds for not having a regular convex hull. As a stellation It is the second stellation of the icosahedron, and given as Wenninger model index 23. It can be constructed by a rhombic triacontahedron with rhombic-based pyramids added to all the faces, as shown by the five colored model image. (This construction does not generate the ''regular'' compound of five octahedra, but shares the same topology and can be smoothly deformed into the regular compound.) It has a density of greater than 1. As a compound It can also be seen as a polyhedral compound of five octahedra arranged in icosahedral symmetry (Ih). The spherical and stereographic projections of this compound look the same as those of the disdyakis triacontahedron. But ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
