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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.

The Third Stellation of the Pentagonal Icositetrahedron Is a Compound of Two Irregular Dodecahedra

Here’s the pentagonal icositetrahedron. It is the dual of the snub cube.

And here is its third stellation. As you can see, it’s a compound of two irregular dodecahedra.

I made these images using Stella 4d: Polyhedron Navigator. You can try this program for free at http://www.software3d.com/Stella.php.

A Rhombic Triacontahedron, Constructed From Other Polyhedra

The components of this toroidal polyhedron are 32 rhombicosidodecahedra, 120 pentagonal prisms, and 60 dodecahedra. I assembled it using Stella 4d, a program you can try for free at http://www.software3d.com/Stella.php. Three different coloring-schemes are shown here.

The 12th Stellation of the Triakis Tetrahedron

Created using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

A Dozen Truncated Icosahedra, Surrounding a Central Dodecahedron

Created using Stella 4d, which you can try for yourself, for free, at http://www.software3d.com/Stella.

Radial Five

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Pentagons

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Hexagons

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A Compound of the Rhombic Triacontahedron and a Truncation of the Dodecahedron

Created with Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.

Twenty Rhombicosidodecahedra Surrounding a Central Icosahedron

Created using Stella 4d, which you can try for yourself at http://www.software3d.com/Stella.php.

A Tetrahedral Array of Pulsating Tetrahedra

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I created this using Stella 4d: Polyhedron Navigator. You may try this software, for free, at http://www.software3d.com/Stella.php.