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 a compound. This compound 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 compoundof five tetrahedra is one of the five regular polyhedral compounds. This compound polyhedron is also a stellation of the regular icosahedron...
In geometry, a compoundof two tetrahedra is constructed by two overlapping tetrahedra, usually implied as regular tetrahedra. There is only one uniform...
polyhedron compound is a composition of 10 truncated tetrahedra, formed by truncating each of the tetrahedra in the compoundof 10 tetrahedra. It also results...
Compound oftentetrahedra An interesting polyhedron can be constructed from five intersecting tetrahedra. This compoundof five tetrahedra has been known...
five tetrahedra comes in two enantiomorphic versions, which together make up the regular compoundoftentetrahedra. The regular compoundoften tetrahedra...
forming a compoundoftentetrahedra. Further, we can choose one tetrahedron from each stella octangula, so as to derive a compoundof five tetrahedra, which...
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...
five: Regular polyhedron compounds: the compoundof five tetrahedra, compoundoftentetrahedra, compoundof five cubes, compoundof five octahedra, and stella...
them. Other stellations have more than one face in each plane or form compoundsof simpler polyhedra. These are not strictly icosahedra, although they are...
rhombidodecadodecahedron. The compoundoftentetrahedra can be formed by taking each of these five cubes and replacing them with the two tetrahedraof the stella octangula...
centrally symmetric). It acts on the compoundoftentetrahedra: I acts on the two chiral halves (compoundsof five tetrahedra), and −1 interchanges the two...
These include the compoundof five cubes, compoundof five octahedra, compoundof five tetrahedra, the compoundoftentetrahedra, rhombic triacontahedron...
made up of four intersecting triangles. Compoundof five tetrahedraCompoundoftentetrahedra Sloane, N. J. A. (ed.). "Sequence A119602 (Number of nonisomorphic...
Players of All Time British NVC community W25, an underscrub community in the British National Vegetation Classification system Compoundoftentetrahedra Hansa-Brandenburg...
one of four Kepler–Poinsot polyhedra (nonconvex regular polyhedra), with Schläfli symbol {3,5⁄2} and Coxeter-Dynkin diagram of . It is composed of 20 intersecting...
geometry of three dimensions, a stellation extends a polyhedron to form a new figure that is also a polyhedron. The following is a list of stellations of various...
forms, and identified ten stellations of the icosahedron, including the complete stellation. Wheeler (1924) published a list of twenty stellation forms...
because of similarity in ionic radius and charge; in those cases, the [AlO4]5− tetrahedra form the same structures as do the unsubstituted tetrahedra, but...
Semiregular (6–18), regular star polyhedra (20–22,41), Stellations and compounds (19–66), and uniform star polyhedra (67–119). The four regular star polyhedra...
rule, the internal structure of both shapes will differ. The 12 vertices of the convex hull matches the vertex arrangement of an icosahedron. The great triambic...
sharing the same face planes, the compoundof six tetrahedra, may be formed by stellating each face of the compoundof three octahedra to form three stellae...
quotient space of the hyperbolic order-6 hexagonal tiling, {6,6} and is an abstract type {6,6}6. It is one often abstract regular polyhedra of index two with...
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