Happy Second Anniversary of Your Simulated Existence

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The world ended on this day in 2012 — December 21 — when the Mayan calendar began a new cycle. We now secretly live in a computer simulation run by highly advanced ancient Mayan aliens. They have authorized me to wish you a happy second anniversary of the end of your previous existence.

[Image credit: within this simulation, you can find this picture at http://wall.alphacoders.com/by_sub_category.php?id=206132.]

A Partially-Invisible Rhombicosidodecahedron, and One of Its Stellations

Rhombicosidodeca

The polyhedron above originally had thirty yellow square faces, but I rendered them invisible so that the interior structure of this polyhedron could be seen.

When stellating such a partially-invisible figure, the new faces “inherited” from the “parent polyhedron” are either visible or invisible, depending on which type of face they are derived from. This makes for a very unusual look for some stellations, such as this, the rhombicosidodecahedron’s 50th:

Rhombicosidodeca w inv squares 50th stellations

I created these images using a program called Stella 4d: Polyhedron Navigator. You may try it for yourself at http://www.software3d.com/Stella.php.