Math Art
Square Antiprism

Square Antiprism

Square Antiprism is an antiprism, with 8 vertices, 16 edges and 10 faces, symmetry group D4d of order 16.

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antiprism chiral-family convex prism-family

Properties

Vertices
8
Edges
16
Faces
10
Convex
yes
Density
1
Symmetry
D4d
Orbifold
2*4
Symmetry order
16
Dual
square-trapezohedron
Volume
{'value': 0.9569999818367154, 'exact': 'sqrt(4+3*sqrt(2))/3', 'source': 'pslq'}
Surface area
{'value': 5.46410161513775, 'exact': '2+2*sqrt(3)', 'source': 'pslq'}
Circumradius
{'value': 0.8226643880080361, 'exact': 'sqrt(8+2*sqrt(2))/4', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': 'sqrt(24+18*sqrt(2))/12', 'value': 0.5860404098381811}, {'face': '{4}', 'exact': 'sqrt(0+8*sqrt(2))/8', 'value': 0.420448207626857}]
Midradius
{'value': 0.6532814824381881, 'exact': 'sqrt(4+2*sqrt(2))/4', 'source': 'pslq'}

Dual

square-trapezohedron