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.