Tags » Icosahedron

Icosahedron with Tessellated Faces

The images on the faces of this icosahedron appeared on this blog three posts ago, and were created with Geometer’s Sketchpad and MS-Paint. To project this image onto this polyhedron, and then generate this rotating .gif, I used a third program, … 21 more words


The Truncated Truncated Icosahedron

The icosahedron has twenty triangular faces. Truncate it once, and the triangles become hexagons, with pentagons appearing under the pyramids removed in the truncation. This is the “soccer ball” shape familiar to millions. 54 more words


A Polyhedral Cage Which Includes the Dodecahedron, the Icosahedron, and the Rhombic Triacontahedron

The dodecahedron’s edges pass through the purple squares (edge midpoints) and red hexagons (vertices), and have blue decagons above their pentagonal face-centers. The blue decagons’ centers also mark the vertices of the triangular faces of the icosahedron, each of which has a purple square as a side-midpoint, and a red hexagon over its face-center. 53 more words