Tag Archives: geometry

A Rhombic Dodecahedron, Made of Icosahedra, and Tall Triangular Antiprisms

Posted on 10 June 2017 by

Software used: Stella 4d, available at http://www.software3d.com/Stella.php.  

Posted in Mathematics | Tagged , , , , , | Leave a comment

Honeycomb Made of Cuboctahedra and Octahedra

Posted on 6 June 2017 by

This is the three-dimensional version of what is called a tessellation in two dimensions. It fills space, and can be continued in all directions. Software used: Stella 4d, available here.

Posted in Mathematics | Tagged , , , , , , , , , | Leave a comment

Spectral Circles on a Cuboctahedron

Posted on 3 June 2017 by

I used three programs to make this: Geometer’s Sketchpad, MS-Paint, and Stella 4d. The third of these may be tried for free at http://www.software3d.com/Stella.php.

Posted in Art, Mathematics | Tagged , , , , , , , , | 4 Comments

Augmenting the Octahedron with Octahedra, Repeatedly.

Posted on 15 May 2017 by

This is an octahedron. If you augment each face of an octahedron with more octahedra, you end up with this. One can then augment each triangular face of this with yet more octahedra. Here’s the next iteration: This could, of … Continue reading →

Posted in Mathematics | Tagged , , , , , , , , , | 1 Comment

Two Polyhedra, Each Featuring Enneagons and Octagons

Posted on 14 May 2017 by

I used Stella 4d: Polyhedron Navigator to make these. You can try it for yourself at http://www.software3d.com/Stella.php.

Posted in Mathematics | Tagged , , , , , , | Leave a comment

A Flock of 32 Rhombic Triacontahedra

Posted on 9 May 2017 by

Software used: Stella 4d, available at http://www.software3d.com/Stella.php.

Posted in Mathematics | Tagged , , , , , , | Leave a comment

A Flock of Rhombicosidodecahedra

Posted on 27 April 2017 by

It’s a little-known fact that rhombicosidodecahedra prefer to fly in flocks of sixty, as seen here. I made this using Stella 4d, available at this website.

Posted in Mathematics | Tagged , , , , , | 1 Comment