Biscribed Non-Chiral Solids
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Biscribed Truncated Octahedron
biscribed form
Vertices:
24 (24[3])
Faces:
14 (6 squares + 8 ditrigons)
Edges:
36 (12 short + 24 long)
Symmetry:
Full Octahedral (Oh)
Short Edge Angle:
acos(−1/3)
≈109.471220634 degrees
Long Edge Angle:
acos(−sqrt(3)/3)
≈125.264389683 degrees
Dual Solid:
Biscribed Tetrakis Hexahedron
(values below based on inscribed radius = 1)
Short Edge (12):
2*sqrt(2)−sqrt(6)
≈0.37893738196301199941
Long Edge (24):
sqrt(6)−sqrt(2)
≈1.0352761804100830494
Circumscribed Radius:
sqrt(5−2*sqrt(3))
≈1.2393136749274759023
Inscribed Radius:
1
Volume:
20*(2−sqrt(3))
≈5.358983848622454129451