About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things, a large portion of which are geometrical. Welcome to my own little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with those of my employer, nor any other organization, nor institution, of any kind.

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

Posted on 10 June 2017 by RobertLovesPi

Augmented Icosa

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

Honeycomb Made of Cuboctahedra and Octahedra

Posted on 6 June 2017 by RobertLovesPi

Augmented Cubocta.gif

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.

Spectral Circles on a Cuboctahedron

Posted on 3 June 2017 by RobertLovesPi

Cubocta

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.

Spectral Circles on a Truncated Icosahedron

Posted on 29 May 2017 by RobertLovesPi

Trunc Icosa

I used MS-Paint and Geometer’s Sketchpad to make the designs on the faces, and then used Stella 4d (here) to put the whole thing together.

Spectral Circles

Image

circles

Heptagrammic

Image

June 13 Special Election in the PCSSD

Posted on 22 May 2017 by RobertLovesPi

Voters in the Pulaski County Special School District in central Arkansas vote, June 13, on a millage extension. This isn’t a new tax, but just an extension of what we already pay in property taxes. The schools need this money to build classroom space, etc. for our growing student population. If you live in the PCSSD, please vote FOR this measure on June 13.

I used to donate occasionally to the ACLU, but then Donald Trump became president, so I set up a monthly payment plan.

Posted on 18 May 2017 by RobertLovesPi

resist

If you’d like to join this part of the resistance, here’s a link to the ACLU, right here.

Augmenting the Octahedron with Octahedra, Repeatedly.

Posted on 15 May 2017 by RobertLovesPi

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 course, go on forever, but one more step in the series is all you will see here. I don’t want to get caught in an infinite loop.

Performing various manipulations of polyhedra is easy with Stella 4d: Polyhedron Navigator, which I used to make all five of these rotating images. If you’d like to try this program for yourself, just check out http://www.software3d.com/Stella.php.