Compound of twelve tetrahedra with rotational freedom

Compound of twelve tetrahedra with rotational freedom
Type	Uniform compound
Index	UC2
Polyhedra	12 tetrahedra
Faces	48 triangles
Edges	72
Vertices	48
Symmetry group	octahedral (Oh)
Subgroup restricting to one constituent	4-fold improper rotation (S4)

This

• Compounds of twelve tetrahedra with rotational freedom
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  Stellated octahedron (full).stl θ = 0°
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  Compound of twelve tetrahedra with rotational freedom (5°).stl θ = 5°
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  Compound of twelve tetrahedra with rotational freedom (10°).stl θ = 10°
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  Compound of twelve tetrahedra with rotational freedom (15°).stl θ = 15°
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  Compound of twelve tetrahedra with rotational freedom (20°).stl θ = 20°
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  Compound of twelve tetrahedra with rotational freedom (25°).stl θ = 25°
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  Compound of twelve tetrahedra with rotational freedom (30°).stl θ = 30°
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  Compound of twelve tetrahedra with rotational freedom (35°).stl θ = 35°
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  Compound of twelve tetrahedra with rotational freedom (40°).stl θ = 40°
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  Compound of six tetrahedra.stl θ = 45°

References

• Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (3): 447–457,
  S2CID 123279687
  .

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