dodecahedra betydelse and definition

Exempel på dodecahedra

• The three dodecahedra are all stellations of the regular convex dodecahedron, and the great icosahedron is a stellation of the regular convex icosahedron.

• They were originally white, magnetic dodecahedra in three nested sizes, with one reflective side.

• Each vertex has 3 truncated dodecahedra and one tetrahedron around it.

• There are 4800 edges of two types: 3600 shared by three truncated dodecahedra and 1200 are shared by two truncated dodecahedra and one tetrahedron.

• The dodecahedra are regular, but look flattened because of the projection and direction of viewing.

• There are 6,384,634 topologically distinct "convex" dodecahedra, excluding mirror images, having at least 8 vertices.

• It contains 2640 cells: 120 truncated dodecahedra, 720 decagonal prisms, 1200 triangular prisms, and 600 cuboctahedra.

• It is a quotient space of the order-5 dodecahedral honeycomb, a regular tessellation of hyperbolic 3-space by dodecahedra with this dihedral angle.