June 13 Special Election in the PCSSD

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.

Augmenting the Octahedron with Octahedra, Repeatedly.

This is an octahedron.


If you augment each face of an octahedron with more octahedra, you end up with this.

Augmented Octa

One can then augment each triangular face of this with yet more octahedra.

Aug Augmented Octa

Here’s the next iteration:

Aug Aug Augmented Octa

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.

next aug Octa

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.