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Facetting is the reciprocal or dual process to stellation. Facetting has not been studied as extensively as stellation. In 1619, Kepler described a regular compound of two tetrahedra which fits inside a cube, and which he called the Stella. — “Facetting - Wikipedia, the free encyclopedia”, en.wikipedia.org
3 As a facetting. 4 See also. 5 References. 6 External links  As a compound. It can also be seen as the compound of ten facetting. Ten tetrahedra in a dodecahedron. It is also a facetting of. — “Compound of ten tetrahedra - Wikipedia, the free encyclopedia”, en.wikipedia.org
It is a facetting of a dodecahedron, as shown at left.  Group theory. The compound of five tetrahedra is a geometric illustration of the notion of orbits and stabilizers, as follows. The symmetry group is the compound is the (rotational). — “Compound of five tetrahedra - Wikipedia, the free encyclopedia”, en.wikipedia.org