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Prism name Digonal prism (Trigonal) Triangular prism (Tetragonal) Square prism Pentagonal prism Hexagonal prism Heptagonal prism Octagonal prism Enneagonal prism Decagonal prism Hendecagonal prism Dodecagonal prism... Apeirogonal prism; Polyhedron image ... Spherical tiling image Plane tiling image Vertex config. 2.4.4: 3.4.4: 4.4.4: 5.4.4: 6.4 ...
5-fold dihedral (D 5) This uniform polyhedron compound is a chiral symmetric arrangement of 6 pentagrammic prisms , aligned with the axes of fivefold rotational symmetry of a dodecahedron . Related polyhedra
p-fold prismatic (D ph) Each member of this infinite family of uniform polyhedron compounds is a symmetric arrangement of prisms sharing a common axis of rotational symmetry. This infinite family can be enumerated as follows:
Because they are isogonal (vertex-transitive), their vertex arrangement uniquely corresponds to a symmetry group.. The difference between the prismatic and antiprismatic symmetry groups is that D ph has the vertices lined up in both planes, which gives it a reflection plane perpendicular to its p-fold axis (parallel to the {p/q} polygon); while D pd has the vertices twisted relative to the ...
p-fold rotation (C ph) Each member of this infinite family of uniform polyhedron compounds is a symmetric arrangement of prisms sharing a common axis of rotational symmetry. It arises from superimposing two copies of the corresponding prismatic compound of prisms (without rotational freedom), and rotating each copy by an equal and opposite angle.
5-fold dihedral (D 5) This uniform polyhedron compound is a symmetric arrangement of 12 pentagrammic prisms , aligned in pairs with the axes of fivefold rotational symmetry of a dodecahedron . It results from composing the two enantiomorphs of the compound of six pentagrammic prisms .
5-fold antiprismatic (D 5d) This uniform polyhedron compound is a symmetric arrangement of 6 decagrammic prisms , aligned with the axes of fivefold rotational symmetry of a dodecahedron . Cartesian coordinates
q even: p-fold prismatic (D ph) In geometry , a prismatic compound of antiprism is a category of uniform polyhedron compound . Each member of this infinite family of uniform polyhedron compounds is a symmetric arrangement of antiprisms sharing a common axis of rotational symmetry.