Simplest Canonical Polyhedra of Each Symmetry Type

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Simplest Canonical Polyhedron with D7h Symmetry
(Heptagonal Prism)
(2 of 2)
Vertices:  14  (14[3])
Faces:9  (7 squares + 2 regular heptagons)
Edges:21  (all same length)
Symmetry:  7-fold Prismatic  (D7h)
Heptagon-Square Angle:  acos(0)    90 degrees
Square-Square Angle:  acos(-root[8*(x^3)+4*(x^2)−4*x−1])    
    = 900/7 degrees    
≈128.571428571 degrees
Dual Solid:  Simplest D7h (1 of 2)
(values below based on midscribed radius = 1)
Edge Length:  sqrt(root[(x^3)−7*(x^2)+14*x−7])    ≈0.867767478235116240952
Circumscribed Radius:  sqrt(root[64*(x^3)−304*(x^2)+472*x−239])    ≈1.0900711440408984768
Midscribed Radius:  1
Heptagon Center Radius:  sqrt(root[64*(x^3)−112*(x^2)+56*x−7])    ≈0.43388373911755812048
Square Center Radius:  root[8*(x^3)−4*(x^2)−4*x+1] = cos(π/7)    ≈0.90096886790241912624
Volume:root[64*(x^3)−1372*x+2401]    ≈2.3745677688113665268