prismatic uniform polyhedron is a uniform polyhedron with dihedral symmetry. They exist in two infinite families, the uniform prisms and the uniform antiprisms...

In geometry, a uniform polyhedron has regular polygons as faces and is vertex-transitive—there is an isometry mapping any vertex onto any other. It follows...

In geometry, a uniform star polyhedron is a self-intersecting uniform polyhedron. They are also sometimes called nonconvex polyhedra to imply self-intersecting...

In geometry, a uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i...

regular polygons. There are 47 non-prismatic convex uniform 4-polytopes. There are two infinite sets of convex prismatic forms, along with 17 cases arising...

dodecadodecahedron Truncated great dodecahedron Truncated great icosahedron Prismatic uniform polyhedron Pentagrammic prism, Pentagrammic antiprism, Pentagrammic crossed-antiprism...

In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy (rigidly moved without rotation) of the...

tetrahemihexahedron). The tetrahemihexahedron is the only non-prismatic uniform polyhedron with an odd number of faces. Its Wythoff symbol is 3/2 3 | 2...

In geometry, a polyhedron (pl.: polyhedra or polyhedrons; from Greek πολύ (poly-)  'many' and ἕδρον (-hedron)  'base, seat') is a three-dimensional figure...

all regular, the pentagonal prism is a semiregular polyhedron, more generally, a uniform polyhedron, and the third in an infinite set of prisms formed...

geometry, a uniform polyhedron compound is a polyhedral compound whose constituents are identical (although possibly enantiomorphous) uniform polyhedra...

the hexagonal prism is a semiregular polyhedron—more generally, a uniform polyhedron—and the fourth in an infinite set of prisms formed by square sides...

triangular prism may be both semiregular and uniform. The triangular prism can be used in constructing another polyhedron. Examples are some of the Johnson solids...

elongated triangular prismatic honeycomb which has the triangular prisms with the same orientation. This is related to a space-filling polyhedron, elongated gyrobifastigium...

Truncated icosidodecahedron Snub dodecahedron Prismatic uniform polyhedron Prism Antiprism Uniform star polyhedron Cubitruncated cuboctahedron Cubohemioctahedron...

anticube. If all its faces are regular, it is a semiregular polyhedron or uniform polyhedron. A nonuniform D4-symmetric variant is the cell of the noble...

caps. If faces are all regular, it is a uniform polyhedron. It is used in the construction of two prismatic uniform honeycombs: The new British one pound...

a polyhedron is insufficient to characterise the surface twistings of toroidal polytopes, and this led to the use of torsion coefficients. Uniform 7-polytopes...

a polyhedron is insufficient to characterise the surface twistings of toroidal polytopes, and this led to the use of torsion coefficients. Uniform 8-polytopes...

it may be considered as a parabidiminished great icosahedron. Prismatic uniform polyhedron Weisstein, Eric W. "Pentagrammic crossed antiprism". MathWorld...

Each member of this infinite family of uniform polyhedron compounds is a symmetric arrangement of prisms sharing a common axis of rotational symmetry....

In four-dimensional geometry, a prismatic uniform 4-polytope is a uniform 4-polytope with a nonconnected Coxeter diagram symmetry group.[citation needed]...

Honeycombs (geometry). List of uniform tilings Regular honeycombs Infinite skew polyhedron Plesiohedron Grünbaum (1994). "Uniform tilings of 3-space". Geombinatorics...

the centre in the opposite direction to all the other lines): Prismatic uniform polyhedron Pentagrammic prism Pentagrammic crossed-antiprism Maeder, Roman...

Conway polyhedron notation, invented by John Horton Conway and promoted by George W. Hart, is used to describe polyhedra based on a seed polyhedron modified...

Uniform Compounds of Uniform Polyhedra which enumerated 75 compounds (including 6 as infinite prismatic sets of compounds, #20-#25) made from uniform...

ring on every connected group produces a uniform prismatic 6-polytope. Simplex family: A6 [34] - 35 uniform 6-polytopes as permutations of rings in the...

generally adjustable to create uniform solutions. Fundamental families Uniform prisms There are 5 finite categorical uniform prismatic families of polytopes based...

Each member of this infinite family of uniform polyhedron compounds is a symmetric arrangement of antiprisms sharing a common axis of rotational symmetry...

geometry, a prismatic compound of antiprism is a category of uniform polyhedron compound. Each member of this infinite family of uniform polyhedron compounds...