Square-pentagonal duoantifastegiaprism

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Square-pentagonal duoantifastegiaprism
Rank5
TypeScaliform
Notation
Bowers style acronymSquipdafup
Coxeter diagramxo4ox xo5ox&#x
Elements
Tera10 square antifastegiums, 8 pentagonal antifastegiums, 2 square-pentagonal duoprisms
Cells40 tetrahedra, 40 square pyramids, 10 cubes, 10 square antiprisms, 8 pentagonal prisms, 8 pentagonal antiprisms
Faces80+80 triangles, 10+40 squares, 8 pentagons
Edges40+40+80
Vertices40
Vertex figureSquare-digonal disphenoidal wedge, edge lengths 1, 2, and (1+5)/2
Measures (edge length 1)
Circumradius
Hypervolume≈ 1.33864
Height
Central density1
Related polytopes
ArmySquipdafup
RegimentSquipdafup
DualSquare-pentagonal duoantifastegiategum
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
Symmetry(I2(8)▲I2(10))/2, order 160
ConvexYes
NatureTame

The square-pentagonal duoantifastegiaprism or squipdafup, also known as the square-pentagonal duoantiwedge, is a convex scaliform polyteron and a member of the duoantifastegiaprism family. It consists of 2 square-pentagonal duoprisms, 8 pentagonal antifastegiums, and 10 square antifastegiums. 1 square-pentagonal duoprism, 3 pentagonal antifastegiums, and 3 square antifastegiums join at each vertex.

Vertex coordinates[edit | edit source]

The vertices of a square-pentagonal duoantifastegiaprism of edge length 1 are given by: