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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.

I Went and Got My DNA Examined

Here’s one of the things I found from my recent subscription to AncestryDNA. I’m surprised, because I was told (as a child) that I was at least 1/16th Cherokee, and had a lot of French as well. I was also told I had Scotch-Irish, but no Irish proper.

“Lots of English” is about the only thing where what I was told when young, and what the DNA says, actually match.

A Tetrahedron Variant

I made this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

Starfish III

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Augmenting the Truncated Icosahedron

Here’s a truncated icosahedron, one of the thirteen Archimedean solids.

The next image shows this solid with its hexagonal faces augmented by prisms.

This augmented polyhedron has an interesting dual:

Finally, here’s this dual shown in “rainbow color mode.”

These images were created with Stella 4d, a program you can try for free right here.

Compound of Two Stellated Polyhedra

The yellow component of this compound is the small stellated dodecahedron. As for the blue component, I’m not sure what it’s called. I made this using Stella 4d, which you can try for free right here.

A Twisted and Stellated Polyhedron

I stumbled upon this polyhedron while doing a “random walk” session with Stella 4d: Polyhedron Navigator. If you’d like to try this program for free, you can get a free trial download at this website.

Three Zome Constructions I Made With Students in 2012

Zome can be rearranged in trillions of ways. Here are three of them.

I found these yesterday in Facebook’s “10 years ago” memories it likes to give me every day. If you want to get your own Zome, the website to visit is http://www.zometool.com.

Augmenting the Icosidodecahedron With Pyramids

Here’s an icosidodecahedron, one of the thirteen Archimedean solids.

Using a computer program called Stella 4d (available here), I augmented each face of this solid with a pyramid. Here’s the result.

Also interesting is the dual of this pyramid-augmented icosidodecahedron:

A Chiral Tessellation of the Plane Using Regular Hexagons and Parallelograms

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A Tessellation of the Plane Using Concave Octagons and Regular Hexagons

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