Snowflake in Blue and Yellow

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Snowflake in Blue and Yellow

Nineteen Circles

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Nineteen Circles

Red and Black

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Red and Black

A Green Itaumipedean Snowflake

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A Green Snowflake

On Itaumiped, my imaginary planet (see previous post, as well as a few others on this blog), the snow is not crystals of dihydrogen monoxide, but a different chemical — one that shows both 4-fold and 5-fold, but not 6-fold, symmetry.

This may change in the future, however. That’s one of the advantages of having your own imaginary planet.

 

The Radiation Belts of Itaumiped

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The Radiation Belts of Itaumiped

Itaumiped is my own imaginary planet. I made it up, naming it with an anagram for — what else? — the phrase “I made it up.”

Magenta Snowflake

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Magenta Snowflake

Compass II

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Compass

Turquoise and Onyx

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Turquoise and Onyx

Three separate programs were used to make this: Geometer’s Sketchpad, MS-Paint, and Stella 4d. The latter program was written by a friend of mine, and may be bought (or tried for free) here: www.software3d.com/stella.php.

Each of the turquoise images contains 32 circles, and each is on a face of a single rotating rhombic dodecahedron. That polyhedron, though, is obscured by having black faces against a black background, with edges and vertices not shown. You can see no more than one of an entire rhombic face at a time, and that happens only when the “lighting” provided by Stella 4d makes it appear slightly illuminated.

32 Circles

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32 Circles

The Thirty All-Seeing Eyes of the RhombicTriacontahedron

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The Thirty All-Seeing Eyes of the RhombicTriacontahedron

Software used: