Simplest Canonical Polyhedra of Each Symmetry Type

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Simplest Canonical Polyhedron with D10h Symmetry
(Decagonal Prism)
(2 of 2)
Vertices:  20  (20[3])
Faces:12  (10 squares + 2 regular decagons)
Edges:30  (all same length)
Symmetry:  10-fold Prismatic  (D10h)
Decagon-Square Angle:  acos(0)    90 degrees
Square-Square Angle:  acos(−(1+sqrt(5))/4)    144 degrees
Dual Solid:  Simplest D10h (1 of 2)
(values below based on midscribed radius = 1)
Edge Length:  (sqrt(5)−1)/2    ≈0.61803398874989484820
Circumscribed Radius:  sqrt(2*(11−sqrt(5)))/4    ≈1.04665729960313480248
Midscribed Radius:  1
Decagon Center Radius:  (sqrt(5)−1)/4    ≈0.30901699437494742410
Square Center Radius:  sqrt(2*(5+sqrt(5)))/4    ≈0.95105651629515357212
Volume:5*sqrt(5−2*sqrt(5))/2    ≈1.8163563200134022147