Splat!

splat

This is based on the well-known tessellation of the plane with hexagons. Each side of each hexagon has been replaced by a set of three semicircles.

The Rhombic Dodecahedron and Its First Stellation, Decorated in Three Colors

Rhombic Dodeca

The image on the faces of these polyhedra appeared, in black and white form, in the last post here. I used Geometer’s Sketchpad and MS-Paint to make it. It took a third program, Stella 4d, to project the image onto each face of a rhombic dodecahedron (as seen above), as well as the rhombic dodecahedron’s first stellation (below), and then generate these rotating .gif images. You can try Stella for free, as a trial download, at www.software3d.com/Stella.php.

First Stellation Rhombic Dodeca

Forty Circles

circles

Omnidirectional Night-Eyes

Icosidodeca

This is the fourth in a series of posts, each of which builds upon the others. The images in the prior three posts were created using Geometer’s Sketchpad and MS-Paint. For this one, I used Stella 4d to project the most recent of these images of each pentagonal face of an icosidodecahedron, and then rendered the triangular faces invisible. (Stella 4d is available for sale, with a free trial download available, at http://www.software3d.com/Stella.php.)