Pentagrammic antiprism

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Uniform Pentagrammic antiprism
Pentagrammic antiprism
Type Prismatic uniform polyhedron
Elements F = 12, E = 20
V = 10 (χ = 2)
Faces by sides 10{3}+2{5/2}
Schläfli symbol s{2,10/2}
sr{2,5/2}
Wythoff symbol | 2 2 5/2
Coxeter-Dynkin CDel node h.pngCDel 2x.pngCDel node h.pngCDel 10.pngCDel rat.pngCDel d2.pngCDel node.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 5.pngCDel rat.pngCDel d2.pngCDel node h.png
Symmetry D5d, [10,2+], (2*5), order 20
Rotation group D5, [5,2]+, (55), order 10
Index references U79(a)
Dual Pentagrammic trapezohedron
Properties nonconvex
Pentagrammic antiprism
Vertex figure
3.3.3.5/2

In geometry, the pentagrammic antiprism is one in an infinite set of nonconvex antiprisms formed by triangle sides and two regular star polygon caps, in this case two pentagrams.

This polyhedron is identified with the indexed name U79 as a uniform polyhedron.

Pentagram antiprism.png
An alternative representation with hollow centers to the pentagrams.

Net[edit]

Net (fold the dotted line in the centre in the opposite direction to all the other lines): Pentagrammic antiprism flat.png

See also[edit]

External links[edit]