Compounds of Tetrahedra

Deduced from Compounds of Cubes

June 2003


Compounds of tetrahedra deduced from compounds of ten cubes
3-fold axis of summetry

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Compound of 10 Cubes - A
Compound of 10 Tetrahedra - A
Compound of 20 Tetrahedra - A
Compound of 10 Cubes - B
Compound of 10 Tetrahedra - B
Compound of 20 Tetrahedra - B



Compounds of tetrahedra deduced from a compound of fifteen cubes
2-fold axis of summetry

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Compound of 15 Cubes
Compound of 15 Tetrahedra
Compound of 30 Tetrahedra

The compound of 15 Tetrahedra is not symmetrical



Compounds of tetrahedra deduced from a compound of twenty cubes
3-fold and 5-fold axes of summetry

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Compound of 20 Cubes - 3f
Compound of 20 Tetrahedra - 3f
Compound of 40 Tetrahedra - 3f
Compound of 20 Cubes - 5f
Compound of 20 Tetrahedra - 5f
Compound of 40 Tetrahedra - 5f



Compounds of tetrahedra deduced from
a compound of twenty cubes with two constituents per vertex
3-fold and 5-fold axes of summetry

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Compound of 20 Cubes - 3f
Compound of 20 Tetrahedra - 3f
Compound of 40 Tetrahedra - 3f
Compound of 20 Cubes - 5f
Compound of 20 Tetrahedra - 5f
Compound of 40 Tetrahedra - 5f



Compounds of tetrahedra deduced from
a compound of twenty cubes with sixty coplanar pairs of squares
3-fold and 5-fold axes of summetry

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Compound of 20 Cubes - 3f
Compound of 20 Tetrahedra - 3f
Compound of 40 Tetrahedra - 3f
Compound of 20 Cubes - 5f
Compound of 20 Tetrahedra - 5f
Compound of 40 Tetrahedra - 5f



References

Hugo F. Verheyen, Symmetry Orbits, Birkhäuser, 1996, pages 144-155 and 184-189.
Magnus J. Wenninger, Dual Models, Cambridge University Press, 1983, pages 140-141.

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