Symmetric Canonical Self-Dual Tetrahedra
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Self-Dual Tetrahedron (canonical)
Vertices:
4 (4[3])
Faces:
4 (equilateral triangles)
Edges:
6 (all same length)
Symmetry:
Full Tetrahedral (Td)
Dihedral Angle:
acos(1/3)
≈70.528779366 degrees
(values below based on midscribed radius = 1)
Edge Length:
2*sqrt(2)
≈2.8284271247461900976
Circumscribed Radius:
sqrt(3)
≈1.73205080756887729353
Midscribed Radius:
1
Inscribed Radius:
sqrt(3)/3
≈0.57735026918962576451
Volume:
8/3
≈2.6666666666666666667