Antiprisms

Some articles on antiprisms, antiprism:

Compound Of Six Pentagrammic Crossed Antiprisms
... symmetric arrangement of 6 pentagrammic crossed antiprisms ... It can be constructed by inscribing within a great icosahedron one pentagrammic crossed antiprism in each of the six possible ways, and then rotating each by 36 ... It shares its vertices with the compound of 6 pentagonal antiprisms ...
Grand Antiprism - Construction
... The grand antiprism can be constructed by diminishing the 600-cell subtracting 20 pyramids whose bases are three-dimensional pentagonal antiprisms ... Conversely, the two rings of pentagonal antiprisms in the grand antiprism may be triangulated by 10 tetrahedra joined to the triangular faces of each antiprism, and a circle of 5 tetrahedra between ... This relationship is analogous to how a pentagonal antiprism can be constructed from an icosahedron by removing two opposite vertices, thereby removing 5 ...
List Of Polygons, Polyhedra And Polytopes - Three Dimensional - Regular and Uniform Compound Polyhedra
... prisms Compound of six pentagonal antiprisms Compound of six pentagonal prisms Compound of six pentagrammic antiprisms Compound of six pentagrammic crossed antiprisms Compound of six pentagrammic prisms Compound ...
Compound Of Twelve Pentagonal Antiprisms With Rotational Freedom
... polyhedron compound is a symmetric arrangement of 12 pentagonal antiprisms ... When θ is 36 degrees, the antiprisms coincide in pairs to yield (two superimposed copies of) the compound of six pentagonal antiprisms (without rotational freedom) ... shares its vertices with the compound of twelve pentagrammic crossed antiprisms with rotational freedom ...
Prismatic Compound Of Antiprisms With Rotational Freedom
... infinite family of uniform polyhedron compounds is a symmetric arrangement of antiprisms sharing a common axis of rotational symmetry ... two copies of the corresponding prismatic compound of antiprisms (without rotational freedom), and rotating each copy by an equal and opposite angle ... p and q coprime), there occurs the compound of 2n p/q-gonal antiprisms (with rotational freedom), with symmetry group Dnpd if nq is odd Dnph if nq is even Where p/q=2 the component is a tetrahedron ...