Math Art
Pentagrammic Antiprism

Pentagrammic Antiprism

Pentagrammic Antiprism is a uniform polyhedron, with 10 vertices, 20 edges and 12 faces, symmetry group D5d of order 20.

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prism-family star uniform

Properties

Vertices
10
Edges
20
Faces
12
Convex
no
Density
2
Symmetry
D5d
Orbifold
2*5
Symmetry order
20
Circumradius
{'value': 0.5877852522924737, 'exact': 'sqrt(10-2*sqrt(5))/4', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': 'sqrt(42-18*sqrt(5))/12', 'value': 0.11026408970826812}, {'face': '{5}', 'exact': 'sqrt(50-10*sqrt(5))/20', 'value': 0.2628655560595671}]
Midradius
{'value': 0.3090169943749478, 'exact': '(-1+sqrt(5))/4', 'source': 'pslq'}