Prisms & Antiprisms

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(Uniform #76) Heptagonal Prism
Vertices:  14  (14[3])
Faces:9  (7 squares + 2 regular heptagons)
Edges:21
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:  Heptagonal Dipyramid
(values below based on edge length = 1)
Circumscribed Radius:  sqrt(root[448*(x^3)−1232*(x^2)+980*x−239])    
    = sqrt(1+1/(sin(π/7)^2))/2    
≈1.2561788398176757092
Midscribed Radius:  sqrt(root[7*(x^3)−14*(x^2)+7*x−1])    
    = 1/(2*sin(π/7))    
≈1.1523824354812432526
Heptagon Center Radius:  1/2    0.5
Square Center Radius:  sqrt(root[448*(x^3)−560*(x^2)+84*x−1])    
    = cot(π/7)/2    
≈1.0382606982861682836
Volume:sqrt(root[4096*(x^3)−62720*(x^2)    
    +115248*x−16807]) = 7*cot(π/7)/4    
≈3.63391244400158899254