Uniform antiprismatic prism
- Uniform antiprismatic prism
In 4-dimensional geometry, a uniform antiprismatic prism is a uniform polychoron with two uniform antiprism cells in two parallel 3-space hyperplanes, connected by uniform prisms cells between pairs of faces.
A "p-gonal antiprismatic prism" has "4p" triangle, "4p" square and "4" p-gon faces. It has "10p" edges, and "4p" vertices.
The convex set includes:
# "Triangular antiprismatic prism" - )
# Square antiprismatic prism - s
# Pentagonal antiprismatic prism - s
# Hexagonal antiprismatic prism - s
# Heptagonal antiprismatic prism - s
# Octagonal antiprismatic prism - s
#...
There are also nonconvex forms following the set of star antiprisms:
# Pentagrammic antiprismatic prism - s
# Pentagrammic crossed antiprismatic prism - s
#...
See also
* Duoprism
External links
* [http://members.aol.com/Polycell/uniform.html Uniform Polytopes in Four Dimensions] , George Olshevsky
** [http://members.aol.com/Polycell/section6.html Convex uniform prismatic polychora]
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