Penetration of five tetrahedra

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Composite of five tetrahedra that can be found in the dodecahedron
Each five tetrahedron form a star body, the "prongs" of which correspond to the 20 corners of the dodecahedron.

The interpenetration of five tetrahedra represents a star body that arises from a suitable combination of five tetrahedra that can be found in the dodecahedron .

This polyhedron was first described in 1876 by the German mathematician Edmund Hess (1843-1903).

The convex envelope is the dodecahedron. There are two mirror-image versions of this body.

  • Left handed version

  • Right-handed version

See also

Web links

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