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