Dipyramids & Trapezohedra
(box: x-ray)
(F: faces)
(slider: perspective)
(image: L=rotate R=zoom)
(M: metrics)
Please use a browser that supports "canvas"
Octagonal Dipyramid
Vertices:
10 (8[4] + 2[8])
Faces:
16 (isosceles triangles)
Edges:
24 (8 short + 16 long)
Symmetry:
8-fold Prismatic (D8h)
Dihedral Angle:
acos(−(7+4*sqrt(2))/17)
≈138.117959056 degrees
Dual Solid:
Octagonal Prism
(values below based on unit-edge-length Octagonal Prism)
Short Edge (8):
sqrt(2*(2−sqrt(2)))
≈1.0823922002923939688
Long Edge (16):
2*sqrt(2+sqrt(2))
≈3.69551813004514702451
[4]-Vertex Radius (8):
sqrt(2)
≈1.4142135623730950488
[8]-Vertex Radius (2):
2+sqrt(2)
≈3.4142135623730950488
Edge-scribed Radius:
sqrt(2*(2+sqrt(2)))/2
≈1.3065629648763765279
Inscribed Radius:
sqrt(34*(7+4*sqrt(2)))/17
≈1.2202629537976100741
Volume:
16*(1+sqrt(2))/3
≈12.875805665989840260