Prisms & Antiprisms
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(Uniform #76)
Pentagonal Prism
Vertices:
10 (10[3])
Faces:
7 (5 squares + 2 regular pentagons)
Edges:
15
Symmetry:
5-fold Prismatic (D5h)
Pentagon-Square Angle:
acos(0)
90 degrees
Square-Square Angle:
acos(−(sqrt(5)−1)/4)
108 degrees
Dual Solid:
Pentagonal Dipyramid
(values below based on edge length = 1)
Circumscribed Radius:
sqrt(5*(15+2*sqrt(5)))/10
≈0.98671515532598310732
Midscribed Radius:
sqrt(10*(5+sqrt(5)))/10
≈0.85065080835203993218
Pentagon Center Radius:
1/2
0.5
Square Center Radius:
sqrt(5*(5+2*sqrt(5)))/10
≈0.68819096023558676910
Volume:
sqrt(5*(5+2*sqrt(5)))/4
≈1.7204774005889669228