Pentagonal duoantifastegiaprism

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Pentagonal duoantifastegiaprism
Rank5
TypeScaliform
Notation
Bowers style acronymPedafup
Coxeter diagramxo5ox xo5ox&#x
Elements
Tera20 pentagonal antifastegiums, 2 pentagonal duoprisms
Cells50 tetrahedra, 50 square pyramids, 20 pentagonal prisms, 20 pentagonal antiprisms
Faces200 triangles, 50 squares, 20 pentagons
Edges100+100
Vertices50
Vertex figureSquare-tetragonal disphenoidal wedge, edge lengths 1, 2, and (1+5)/2
Measures (edge length 1)
Circumradius
Hypervolume
Height
Central density1
Related polytopes
ArmyPedafup
RegimentPedafup
DualPentagonal duoantifastegiategum
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
Symmetry(I2(10)▲S2)/2, order 400
ConvexYes
NatureTame

The pentagonal duoantifastegiaprism or pedafup, also known as the pentagonal duoantiwedge, is a convex scaliform polyteron and a member of the duoantifastegiaprism family. It consists of 2 pentagonal duoprisms and 20 pentagonal antifastegiums. 1 pentagonal duoprism and 6 pentagonal antifastegiums join at each vertex.

Vertex coordinates[edit | edit source]

A pentagonal duoantifastegiaprism of edge length 1 has verex coordinates given by: