Faceted Rhombcuboctahedron

Posted on 17 April 2015 by RobertLovesPi

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

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.

A Non-Convex Variant of the Great Rhombcuboctahedron

Posted on 10 April 2015 by RobertLovesPi

I made this with Stella 4d, software you can try here.

Four-Part Compound of the Icosahedron, the Dodecahedron, the Cuboctahedron, and the Rhombic Dodecahedron

Posted on 9 April 2015 by RobertLovesPi

This compound was created using Stella 4d, software you can try for yourself here.

Nested Trigonometric Functions: Sine and Cosine

Posted on 9 April 2015 by RobertLovesPi

The sine and cosine curves themselves are shown for reference, and all four possible combinations of sine and/or cosine which nest one function inside another (with values for the outer function to evaluate ranging from -2π to 2π) are also shown.

A Platonic/Catalan Compound and Its Dual, a Platonic/Archimedean Compound

Posted on 9 April 2015 by RobertLovesPi

Shown above: the compound of the icosahedron and the rhombic dodecahedron. Below is its dual, the compound of the dodecahedron and the cuboctahedron.

Both these compounds were created using the “add/blend polyhedron from memory” function in Stella 4d: Polyhedron Navigator. To check out this program for yourself, just follow this link.