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.

Faceted Rhombcuboctahedron

Posted on 17 April 2015 by RobertLovesPi

This faceting was created using Stella 4d, available here.

A Serious Government Reform Proposal for the State of Arkansas

Posted on 16 April 2015 by RobertLovesPi

News item (http://www.thv11.com/story/life/2015/04/15/slide-the-city/25859617/): giant Slip-‘n’-Slide may be coming to downtown Little Rock, Arkansas. Here’s a photo from the news story.

To reform state government, I think we should have this event come here every time the state legislature is in session, and have it on the capitol grounds, right here in Little Rock. Why? That’s simple: if Arkansas lawmakers spent each session on a Slip-‘n’-Slide, they’d do a lot less harm.

Non-Convex and Cuboctahedral

Posted on 15 April 2015 by RobertLovesPi

Created with Stella 4d, available here.

A Stellated Polyhedron, Mostly Blue

Posted on 14 April 2015 by RobertLovesPi

This is the first stellation of the second polyhedron seen in the post just before this one, but with the color-scheme changed, on the grounds that I like blue. If you’d like to know more about how this polyhedron was created, I refer you to that post. Stella 4d was used to make these: software you can try right here.

The Pyramid-Excavated Icosidodecahedron, and Its Interesting Dual

Posted on 14 April 2015 by RobertLovesPi

To make this, I used the excavation-function of Stella 4d, set to remove pyramids with equal edge length from each face of an icosidodecahedron. You can try this program here.

The dual of this polyhedron is shown below.

The Compound of the Pyramid-Excavated Dodecahedron and Tetrahedrally-Excavated Icosahedron, Together with Its Interesting Dual

Posted on 14 April 2015 by RobertLovesPi

This is the familiar dodecahedron/icosahedron compound, but with each face of both components of the compound altered by the excavation of an equal-edge-length pyramid. To make it, as well as the rotating image below, I used Stella 4d, which you can find here.

Also, here is the dual of the compound above:

Stellating the Great Dodecahedron, by Twentieths, to Beethoven’s Ninth

Posted on 12 April 2015 by RobertLovesPi

In this video, the great dodecahedron is stellated, by twentieths, into the great stellated dodecahedron, while a selection from Ludwig van Beethoven’s Ninth Symphony plays. The images for this video were created using Stella 4d, a program you can try for yourself (free trial download available), right here: http://www.software3d.com/Stella.php.