I made this using Stella 4d: Polyhedron Navigator, a program you can try for free at http://www.software3d.com/Stella.php.
The tessellation above is shown in primary colors. The one below is rendered in shades of blue.
I wonder if other people find tessellation relaxing?
This tessellation is made only of regular polygons: triangles, squares, and dodecagons.
To make this, I used Stella 4d: Polyhedron Navigator to take the image I blogged here, and then project it onto the faces of a rhombic dodecahedron. Next, I put that polyhedron into motion for the .gif shown below.
If you’d like to give Stella a free try, the site to visit is http://www.software3d.com/Stella.php.
This is a modification of the well-known tessellation of the plane with squares and regular octagons.
This 110-faced polyhedron has, in addition to the eight regular dodecagons, six rectangles, and 96 triangles. I made it using Stella 4d, a program you can try for free, as a demo version, at http://www.software3d.com/Stella.php. I wish I could remember how I made it!
Fortunately, I have many friends who are more knowledgeable than I, when it comes to mathematics. Perhaps one of them will be able to solve this mystery.