A Blue and Yellow Tessellation Made with Semicircles

Posted on 27 October 2014 by RobertLovesPi

A Tessellation Using Regular Pentagons and Hexagons, As Well As Two Types of Concave Polygon

Posted on 10 August 2014 by RobertLovesPi

Without even checking, I know that my automatic tweet about this post (as @RobertLovesPi) will be retweeted by the @HexagonBot on Twitter. Why? Because @HexagonBot retweets any tweet containing the word “hexagon,” or “hexagons.” I have absolutely no idea why other polygons lack their own Twitterbots, though.

Forty Circles

Posted on 29 July 2014 by RobertLovesPi

A Gallery of Twenty-One Polyhedra with Icosidodecahedral Symmetry

Image

Multiple Variants of the Icosidodecahedron

Click on the smaller pictures, if you wish to enlarge them, one at a time.

Those last two were duals of each other. The next two are as well.

These next two are duals, as are the pair that follows them.

I’ll finish with one more dual pair.

All of these were made using Stella 4d: Polyhedron Navigator, which is available at http://www.software3d.com/Stella.php.

Candy

Image

Candy

Medium: electrons and photons, arranged carefully using Stella 4d: Polyhedron Navigator, software I bought at http://www.software3d.com/Stella.php. There is a free trial download available at the same website.

Twenty Rotating Triskelions, Made of Kites

Image

Twenty Rotating Triskelions, Made of Kites

Created using Stella 4d, software available at http://www.software3d.com/Stella.php.

Twelve Rotating Images of Barred Spiral Galaxy NGC1300

Image

Twelve Rotating Images of Barred Spiral Galaxy NGC 1300

After using Google to find the image of this galaxy, I used software called Stella 4d (available at http://www.software3d.com/Stella.php) to project it onto the twelve pentagonal faces of an icosidodecahedron, and then hid the triangular faces, as well as the vertices and edges — and then set the galaxies to rotate on the faces, as well as around the axis of the polyhedron.