The compound of five tetrahedra is one of the five regular polyhedral compounds. This compound polyhedron is also a stellation of the regular icosahedron. It was first described by Edmund Hess in 1876.
It can be seen as a faceting of a regular dodecahedron.
^Regular polytopes, p.98
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The compoundoffivetetrahedra is one of the five regular polyhedral compounds. This compound polyhedron is also a stellation of the regular icosahedron...
The compoundof ten tetrahedra is one of the five regular polyhedral compounds. This polyhedron can be seen as either a stellation of the icosahedron...
The compoundoffive truncated tetrahedra is a uniform polyhedron compound. It's composed of 5 truncated tetrahedra rotated around a common axis. It may...
In geometry, a compoundof two tetrahedra is constructed by two overlapping tetrahedra, usually implied as regular tetrahedra. There is only one uniform...
compoundof four tetrahedra can be constructed by four tetrahedra in a number of different symmetry positions. A uniform compoundof four tetrahedra can...
only regular compound with that property. There are five regular compoundsof polyhedra: Best known is the regular compoundof two tetrahedra, often called...
forming a compoundof ten tetrahedra. Further, we can choose one tetrahedron from each stella octangula, so as to derive a compoundoffivetetrahedra, which...
The compoundoffive octahedra is one of the five regular polyhedron compounds, and can also be seen as a stellation. It was first described by Edmund...
rhombidodecadodecahedron. The compoundof ten tetrahedra can be formed by taking each of these five cubes and replacing them with the two tetrahedraof the stella octangula...
Silicon compounds are compounds containing the element silicon (Si). As a carbon group element, silicon often forms compounds in the +4 oxidation state...
The compoundof six tetrahedra is a uniform polyhedron compound. It's composed of a symmetric arrangement of 6 tetrahedra. It can be constructed by inscribing...
regular 4-polytope which is both the dual of the 600-cell and a compoundof 5 600-cells) we find all three kinds of inscribed icosahedra (in a dodecahedron...
only five polyhedral compounds (along with the compoundof six tetrahedra, the compoundof two great dodecahedra, the compoundof two small stellated dodecahedra...
them. Other stellations have more than one face in each plane or form compoundsof simpler polyhedra. These are not strictly icosahedra, although they are...
loosely seen as the two-dimensional equivalent of the 3D compoundoffivetetrahedra. Deeper truncations of the regular pentadecagon and pentadecagrams can...
group is the group of even permutations of a finite set. The alternating group on a set of n elements is called the alternating group of degree n, or the...
showing many stellations and facetings of polyhedra. In 1619, Kepler described a regular compoundof two tetrahedra which fits inside a cube, and which he...
say that one has a group action of the abstract group that consists of performing the transformations of the group of transformations. The reason for...
British National Vegetation Classification system Burduna language Compoundoffivetetrahedra LSWR O2 Class W24 Calbourne, a locomotive Mercedes-Benz W24,...
PSL(2,5) is the symmetries of the icosahedron (genus 0) with the compoundoffivetetrahedra as a 5-element set, PSL(2,7) of the Klein quartic (genus 3)...
made up of four intersecting triangles. CompoundoffivetetrahedraCompoundof ten tetrahedra Sloane, N. J. A. (ed.). "Sequence A119602 (Number of nonisomorphic...
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