Star Dipyramids & Trapezohedra
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Octagrammic Dipyramid
Vertices:
10 (8[4] + 2[8])
Faces:
16 (isosceles triangles)
Edges:
24 (16 short + 8 long)
Symmetry:
8-fold Prismatic (D8h)
Dihedral Angle:
acos(−(7−4*sqrt(2))/17)
≈94.531580798 degrees
Dual Solid:
Octagrammic Prism
(values below based on unit-edge-length Octagrammic Prism)
Short Edge (16):
2*sqrt(2−sqrt(2))
≈1.5307337294603590869
Long Edge (8):
sqrt(2*(2+sqrt(2)))
≈2.6131259297527530557
[8]-Vertex Radius (2):
2−sqrt(2)
≈0.58578643762690495120
[4]-Vertex Radius (8):
sqrt(2)
≈1.4142135623730950488
Edge-scribed Radius:
sqrt(2*(2−sqrt(2)))/2
≈0.54119610014619698440
Inscribed Radius:
sqrt(34*(7−4*sqrt(2)))/17
≈0.39751370683102677943