Math Art
Pentagrammic Crossed Antiprism

Pentagrammic Crossed Antiprism

Pentagrammic Crossed Antiprism is a uniform polyhedron, with 10 vertices, 20 edges and 12 faces, symmetry group D5h of order 20.

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prism-family star uniform

Properties

Vertices
10
Edges
20
Faces
12
Convex
no
Density
3
Symmetry
D5h
Orbifold
*225
Symmetry order
20
Circumradius
{'value': 0.6564310317447641, 'exact': 'sqrt(150+10*sqrt(5))/20', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': 'sqrt(150+90*sqrt(5))/60', 'value': 0.3123593541166352}, {'face': '{5}', 'exact': 'sqrt(-2+2*sqrt(5))/4', 'value': 0.3930756888787121}]
Midradius
{'value': 0.42532540417602044, 'exact': 'sqrt(50+10*sqrt(5))/20', 'source': 'pslq'}