Biscribed Non-Chiral Solids
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Biscribed Tetrakis Hexahedron
biscribed form
Vertices:
14 (6[4] + 8[6])
Faces:
24 (isosceles triangles)
Edges:
36 (24 short + 12 long)
Symmetry:
Full Octahedral (Oh)
Short Edge Angle:
acos(−(5+2*sqrt(3))/13)
≈130.623436603 degrees
Long Edge Angle:
acos(−2*(1+3*sqrt(3))/13)
≈162.412046226 degrees
Dual Solid:
Biscribed Truncated Octahedron
(values below based on circumscribed radius = 1)
Short Edge (24):
sqrt(6*(3−sqrt(3)))/3
≈0.91940168676196612196
Long Edge (12):
2*sqrt(3)/3
≈1.1547005383792515290
Circumscribed Radius:
1
Inscribed Radius:
1/sqrt(5−2*sqrt(3))
≈0.80689822135507345663
Volume:
8/3
≈2.6666666666666666667