That’s the compound of the dodecahedron and the truncated octahedron above. Shown next is its dual, the compound of the icosahedron and the tetrakis cube. Both compounds were made using… 9 more words

## Tags » Icosahedron

#### Four-Part Compound of the Icosahedron, the Dodecahedron, the Cuboctahedron, and the Rhombic Dodecahedron

This compound was created using *Stella 4d*, software you can try for yourself here.

#### Combining Octahedral and Icosahedral Symmetry to Form Pyritohedral Symmetry

Pyritohedral symmetry, seen by example both above and below, is most often described at the symmetry of a volleyball:

To make the rotating polyhedral compound at the top, from an octahedron and an icosahedron, I simply combined these two polyhedra, using 73 more words

#### Twenty-sided die from Ptolemaic Period

**Period:** Ptolemaic Period–Roman Period

**Date:** 2nd century B.C.–4th century A.D.

**Geography:** From Egypt

**Medium:** Serpentine

**Dimensions:** Height: 3.2 x L: 3.8 x W: 3.4 cm (1 1/4 x 1 1/2 x 1 5/16 in.) 21 more words

#### The brilliant M.C. Escher in 7 pictures

The way Escher manages to convey his appreciation of the mathematical world through his amazing artworks is just brilliant. 214 more words

#### Spot the sequence?

This is a drilled MDF polyhedron lamp/illuminated shape about 800mm in diameter with 20 faces, also known as an Icosahedron. It is a prototype/experiment which sits in the workshop waiting to be loved again. 15 more words