Daily Archives: 3 March 2014

The Pseudo-Truncated-Icosahedron

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An Icosahedron, Augmented, and Then Reaugmented, with Octahedra

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An Icosahedron, Augmented, and Then Reaugmented, with Octahedra

Software credit: you can try the software I used to make this at http://www.software3d.com/stella.php.

A Big Ball of Pyramids

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A Big Ball of Pyramids

To create this, a central rhombicosidodecahedron had each of its faces augmented by pyramids, each of which uses only equilateral triangles for lateral faces.

Software credit: The program used to make this image, Stella 4d, may be tried for free at http://www.software3d.com/stella.php.

A Polyhedron Featuring 152 Faces

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A Polyhedron with 152 Faces

The 152 faces of this polyhedron are:

    • 12 regular pentagons
    • 60 trapezoids
    • 20 small, equilateral triangles
    • 60 large, slightly-isosceles triangles

This software used to make this image, Stella 4d, may be tried for free at http://www.software3d.com/stella.php.

A Breathing Cube

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A Breathing Cube

This software used to make this image, Stella 4d, may be tried for free at http://www.software3d.com/stella.php. The “breathing” effect is optional with this program, and is created by having the software use a tight fit-to-frame in each still pic that composes this .gif file.

Your Toes Are Younger Than Your Head

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Your Toes Are Younger Than Your Head

Unless, like a bat, you sleep upside-down, your toes are younger than your head.

Why?

Because, having spent more time slightly closer to the center of the earth, they have endured a slightly stronger gravitational field strength. This, in turn, due to relativistic time dilation, slows time down for your toes, relative to your head. With a slower passage of time during all periods when you were upright, less time has passed for them — and so they are younger.

Image credit: http://www.bestpodiatristnyc.com/british-hammertoes-are-wonky-toes/#sthash.xKDfxbgJ.dpbs

A Polyhedral Snowman

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A Polyhedral Snowman

We’re out of school today because of an ice storm, and I wanted to make a snowman. However, we got very little snow — mostly freezing rain and sleet fell — so I can’t make a traditional snowman. Also, it’s really cold outside. So, instead, I stayed inside, where it’s warm, and made a polyhedral snowman out of (from top to bottom) an icosahedron, an icosidodecahedron, and a rhombicosidodecahedron.

Software credit: see http://www.software3d.com/stella.php for a free trial download of Stella 4d, the software used to make this image.