Star Prisms & Antiprisms

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(Uniform #78) Octagrammic Prism
Vertices:  16  (16[3])
Faces:10  (8 squares + 2 regular octagrams)
Edges:24
Symmetry:  8-fold Prismatic  (D8h)
Octagram-Square Angle:  acos(0)    90 degrees
Square-Square Angle:  acos(sqrt(2)/2)    45 degrees
Dual Solid:  Octagrammic Dipyramid
(values below based on edge length = 1)
Circumscribed Radius:  sqrt(5−2*sqrt(2))/2    ≈0.73681287910395029658
Midscribed Radius:  sqrt(2*(2−sqrt(2)))/2    ≈0.54119610014619698440
Octagram Center Radius:  1/2    0.5
Square Center Radius:  (sqrt(2)−1)/2    ≈0.20710678118654752440


References:[1]Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172.