Math Art
Skilling 25: r Pentagrammic Antiprisms (Sides=5)

Skilling 25: r Pentagrammic Antiprisms (Sides=5)

Skilling 25: r Pentagrammic Antiprisms (Sides=5) is a polyhedral compound, with 20 vertices, 40 edges and 24 faces, symmetry group D10h of order 40.

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compound

Properties

Vertices
20
Edges
40
Faces
24
Convex
no
Symmetry
D10h
Orbifold
*2210
Symmetry order
40
Circumradius
{'value': 0.6564310317447641, 'exact': 'sqrt(150+10*sqrt(5))/20', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': 'sqrt(150+90*sqrt(5))/60', 'value': 0.31235935411663535}, {'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'}