RobertLovesPi.net

Polyhedra, tessellations, and more.

Five Times Six Is Thirty

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Five Times Six Is Thirty

Those big round things aren’t circles. They are regular thirty-sided polygons, or triacontagons.

Compound of Four Triangular Dipyramids

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Compound of Four Triangular Dipyramids

I found this using software you can try for free at http://www.software3d.com/stella.php. It’s one of the many stellations of the dual of the truncated octahedron.

Factors of Twelve

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The Prime Factorization of Twelve

A Radial Tessellation Featuring Regular Decagons, Regular Pentagons, and Golden Hexagons

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Radial Tessellation Featuring Decagons, Pentagon, and Golden Hexagons

As you can see, this can be continued indefinitely from the center.

Op Art On a Rhombic Enneacontahedron

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Op Art On a Rhombic Enneacontahedron

The rhombic enneacontahedron has 90 faces; 30 are narrow rhombi (hidden here), and 60 are wider rhombi (decorated with the op art piece from two posts ago).

Software credit: see the polyhedral software I used at http://www.software3d.com/stella.php — free trial download available.

The Great Rhombcuboctahedron

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The Great Rhombcuboctahedron

The images on the faces are colorized versions of my last post here. This transfer was accomplished using software you can find at http://www.software3d.com/stella.php.