of the pentagonal faces of the dodecahedron. It is one of the stellations of the rhombic triacontahedron. Its dual is the compound of five octahedra....

mathematics, the compound of three octahedra or octahedron 3-compound is a polyhedral compound formed from three regular octahedra, all sharing a common...

The compound of five octahedra is one of the five regular polyhedron compounds, and can also be seen as a stellation. It was first described by Edmund...

The compound of four octahedra is a uniform polyhedron compound. It's composed of a symmetric arrangement of 4 octahedra, considered as triangular antiprisms...

The compound of five tetrahedra is one of the five regular polyhedral compounds. This compound polyhedron is also a stellation of the regular icosahedron...

of four octahedra More generally, Compound of four octahedra with rotational freedom Compound of five octahedra Compound of eight octahedra with rotational...

s = +1 gives UC16. Compound of three octahedra Compound of four octahedra Compound of five octahedra Compound of twenty octahedra Skilling, John (1976)...

Compound of three octahedra Compound of four octahedra Compound of five octahedra Compound of ten octahedra Skilling, John (1976), "Uniform Compounds...

tetrahedral compounds is self-dual or dual to its chiral twin; the regular compound of five cubes and the regular compound of five octahedra are dual to...

faceting of an icosidodecahedron, shown at left. It shares its edges and triangular faces with the compound of five octahedra. Compound of twenty tetrahemihexahedra...

truncating each of the tetrahedra in the compound of five tetrahedra. A far-enough truncation creates the compound of five octahedra. Its convex hull...

The compound of six octahedra has two forms. One form is a symmetric arrangement of 6 octahedra, considered as square bipyramid. It is a dual of a special...

Compound of three octahedra Compound of five octahedra Compound of ten octahedra Compound of twenty octahedra Compound of three cubes Compound of five cubes...

common). The vertex arrangement is also shared with the compounds of five octahedra and of five tetrahemihexahedra. In four-dimensional geometry, the icosidodecahedron...

of light and dark triangles define the fundamental domains of the nonreflective (I) icosahedral symmetry. The edges of a compound of five octahedra also...

five octahedra Compound of five octahemioctahedra Compound of five small cubicuboctahedra Compound of five small rhombicuboctahedra Compound of five small...

The compound of twenty octahedra with rotational freedom is a uniform polyhedron compound. It's composed of a symmetric arrangement of 20 octahedra, considered...

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...

compounds, notably the compound of five cubes (which inscribe in the dodecahedron), the compound of five octahedra, or either of the two compounds of...

polyhedra; one of which is Circogonia icosahedra, whose skeleton is shaped like a regular icosahedron. In chemistry, the closo-carboranes are compounds with a...

them. Other stellations have more than one face in each plane or form compounds of simpler polyhedra. These are not strictly icosahedra, although they are...

five octahedra Compound of five octahemioctahedra Compound of five small cubicuboctahedra Compound of five small rhombicuboctahedra Compound of five small...

chosen in five ways, giving a compound of five octahedra, which comes under our definition of stellated icosahedron. (The reciprocal compound, of five cubes...

community in the British National Vegetation Classification system Compound of five octahedra Hansa-Brandenburg W.23, a German flying boat fighter Wanderer...

chosen in five ways, giving a compound of five octahedra, which comes under our definition of stellated icosahedron. (The reciprocal compound, of five cubes...

in the compound of three cubes, or by stellating each octahedron in the compound of three octahedra. It is one of only five polyhedral compounds (along...

with concave pentagonal pyramids in place of its faces. Its exterior surface represents the Ef1g1 stellation of the icosahedron. It appears in Magnus Wenninger's...

stellations look outwardly identical. Rule (v) prevents any disconnected compound of simpler stellations. Coxeter was the main driving force behind the work...

diagram of . It is composed of 20 intersecting triangular faces, having five triangles meeting at each vertex in a pentagrammic sequence. The great icosahedron...

star polyhedron composed of 20 intersecting non-regular hexagon faces. It has 60 edges and 32 vertices, and Euler characteristic of −8. It is an isohedron...