Large dodecahedron

In Geometry, the large dodecahedron is a Solide of Kepler-Poinsot . It is one of the four regular polyhedrons not-convex. It is composed of 12 pentagonal faces, with five pentagon S meeting at each top, cutting the ones the others by creating a way pentagrammic.

The 12 tops and the 30 edges are divided with the Icosaèdre.

This form was at the base of the puzzle of the type Rubik' S Cube named the star of Alexandre.

By removing the concave parts, we obtain a Dodécaèdre.

He is regarded as the second of the three stellations of the dodecahedron.

If the large dodecahedron is regarded as a properly intersected geometrical surface, it has same topology as a Triaki-icosahedron with concave pyramids rather than with convex pyramids.

Like a stellation

It can also be built like the second of the four Stellation S of the dodecahedron, and referred like the model of Wenninger [W21].

External bonds

  • 3 stellations of the dodecahedron]

Random links:Costante Girardengo | Five Nations tournament 1927 | Lap (receipt) | Mutiloa | To like to lose the reason | Fonctions_cognitives_Jungian