Decagonal antiprism
Uniform Decagonal antiprism  

Type  Prismatic uniform polyhedron 
Elements 
F = 22, E = 40 V = 20 (χ = 2) 
Faces by sides  20{3}+2{10} 
Schläfli symbol  s{2,20} sr{2,10} 
Wythoff symbol   2 2 10 
Coxeter diagram 

Symmetry group  D_{10d}, [2^{+},20], (2*10), order 40 
Rotation group  D_{10}, [10,2]^{+}, (10.2.2), order 20 
References  U_{77(h)} 
Dual  Decagonal trapezohedron 
Properties  convex 
Vertex figure 3.3.3.10 
In geometry, the decagonal antiprism is the eighth in an infinite set of antiprisms formed by an evennumbered sequence of triangle sides closed by two polygon caps.
Antiprisms are similar to prisms except the bases are twisted relative to each other, and that the side faces are triangles, rather than quadrilaterals.
In the case of a regular 10sided base, one usually considers the case where its copy is twisted by an angle 180°/n. Extra regularity is obtained by the line connecting the base centers being perpendicular to the base planes, making it a right antiprism. As faces, it has the two ngonal bases and, connecting those bases, 2n isosceles triangles.
If faces are all regular, it is a semiregular polyhedron.
See also
Family of uniform antiprisms n.3.3.3  

Polyhedron  
Tiling  
Config.  V2.3.3.3  3.3.3.3  4.3.3.3  5.3.3.3  6.3.3.3  7.3.3.3  8.3.3.3  9.3.3.3  10.3.3.3  11.3.3.3  12.3.3.3  ...∞.3.3.3 
External links
 Weisstein, Eric W. "Antiprism". MathWorld.
 Decagonal Antiprism: 3d polyhedron model

Virtual Reality Polyhedra www.georgehart.com: The Encyclopedia of Polyhedra
 VRML model
 Conway Notation for Polyhedra Try: "A10"
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