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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.

A Two-part Polyhedral Compound, Together With Its Dual

I stumbled across this while playing around with Stella 4d, a program you can try for free right here. The red component is the rhombic triacontahedron, while the yellow component is a slightly-stretched version of the strombic hexecontahedron. The dual of this compound is shown below.

Captain Kirk, Mr. Spock, and Dr. McCoy on a Great Rhombicuboctahedron, Revisited

Image credit for Star Trek characters: Paramount.

This is a re-creation of a 2013 blog post featuring the same three characters from the original series of Star Trek, on the same polyhedron. Back then, as a less experienced blogger, I didn’t make these polyhedral images as large, and I used a much faster rotational speed, making it more difficult to see the images clearly. For both the 2013 post and this new one, I used Stella 4d: Polyhedron Navigator to create the rotating images of this solid, the great rhombicuboctahedron. If you’d like to try Stella for yourself, this is the site to visit for a free trial download.

A Truncation of the Rhombic Enneacontahedron

I made this truncated version of the rhombic enneacontahedron, using faceting, with Stella 4d: Polyhedron Navigator. You can try this program for free at this website.

A Rhombic Enneacontahedron, Decorated With Craters From the Far Side of the Moon

The crater-pictures used on the faces of this rhombic enneacontahedron come from here, and I projected them onto the rhombic faces of this polyhedron using Stella 4d: Polyhedron Navigator. If you’d like to try Stella for yourself, you can get a free trial download at this website. I blogged a similar image once before (here), but that was before I received the helpful suggestion to slow down the rotation speed of the polyhedra I post on this blog — so I decided to revisit this idea in a new post.

A Tessellation of Rhombi and Six-Pointed Stars

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A Chiral Tessellation of Equilateral Triangles and Six-Pointed Stars

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A Compound of a Regular Octahedron, Icosahedron, Dodecahedron, and a Cube

I made this compound using Stella 4d, which you can try for free at this website.

A Compound of Three Rectangular Solids

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

Two Zome Compounds: Five Cubes, and Five Rhombic Dodecahedra

The blue figure in the center of this model is the compound of five cubes. If you take a cube, and build pyramids of just the right height on each of that cube’s faces, those pyramids form a rhombic dodecahedron, as seen below.

In the model at the top of this post, yellow rhombic dodecahedra have been built around each cube in the compound of five cubes. The yellow figure in the top is, therefore, the compound of five rhombic dodecahedra.

I made these models out of Zome. If you’d like to try Zome for yourself, the place to go to buy it is http://www.zometool.com.

A Tessellation Featuring Regular Hexagons, Equilateral Hexagons, and Squares

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