Uniform pentagonal antiprism | |
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Type | Prismatic uniform polyhedron |
Elements | F = 12, E = 20 V = 10 (χ = 2) |
Faces by sides | 10{3}+2{5} |
Schläfli symbol | s{2,10} sr{2,5} |
Wythoff symbol | | 2 2 5 |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Symmetry group | D5d, [2+,10], (2*5), order 20 |
Rotation group | D5, [5,2]+, (522), order 10 |
References | U77(c) |
Dual | Pentagonal trapezohedron |
Properties | convex |
![]() Vertex figure 3.3.3.5 |
In geometry, the pentagonal antiprism is the third in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps. It consists of two pentagons joined to each other by a ring of ten triangles for a total of twelve faces. Hence, it is a non-regular dodecahedron.