Star Prisms & Antiprisms

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(Uniform #80) Octagrammic Crossed Antiprism
Vertices:  16  (16[4])
Faces:18  (16 equilateral triangles + 2 regular octagrams)
Edges:32
Symmetry:  8-fold Antiprismatic  (D8v)
Octagram-Triangle Angle:  acos(sqrt(3*(7−4*sqrt(2)    
    +2*sqrt(2*(10−7*sqrt(2)))))/3)    
≈30.223804418 degrees
Triangle-Triangle Angle:  acos((2*sqrt(2−sqrt(2))+1)/3)    ≈327.519889299 degrees
Dual Solid:  Octagrammic Concave Trapezohedron
(values below based on edge length = 1)
Circumscribed Radius:  sqrt(2*(6−2*sqrt(2)−sqrt(2*(10−7*sqrt(2)))))/4    ≈0.58344144372912916858
Midscribed Radius:  sqrt(2*(4−2*sqrt(2)−sqrt(2*(10−7*sqrt(2)))))/4    ≈0.30067244346752264027
Octagram Center Radius:  sqrt(2*(2*sqrt(2)−sqrt(2*(10−7*sqrt(2)))−2))/4    ≈0.21796949201041443551
Triangle Center Radius:  −sqrt(6*(10−6*sqrt(2)    
    −3*sqrt(2*(10−7*sqrt(2)))))/12    
≈−0.084086770228123667076


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