A Polyhedron Made of Kites and Rhombi

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A Polyhedron Made of Kites and Rhombi

In this polyhedron, the twelve rhombic faces are in the same position as the faces of a rhombic dodecahedron — but narrowed, so as to make room for the kites. As for the kites, there are 24 of them — in eight sets of three. These set-of-threes’ positions correspond to those of the faces of an octahedron.

Software credit: I made this with polyhedron-manipulation software called Stella 4d. If you wish to purchase it, or try the free trial download, here’s the site to visit:

http://www.software3d.com/Stella.php

A Note, from Arkansas

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A Note, from Arkansas

Here, with so many shameful things in our state’s history, it’s nice to have the opportunity to be proud to be an Arkansan. The cause of this pride? Judge Chris Piazza’s ruling, yesterday, allowing the first legal gay marriages in all of the American South to occur in this state — my state — today.

Dare I hope that this is the beginning of a progressive trend here?

Judge Strikes Down Same-Sex Marriage Ban in Arkansas

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Judge Strikes Down Same-Sex Marriage Ban in Arkansas

Same-sex couples are getting legally married for the first time in Arkansas — today. I live in Arkansas. I didn’t expect to see this happen in my state for at least a decade.

Thank you, Judge Piazza.

(For more information, simply google “Arkansas gay marriage.” It’s all over the news.)

A Box, with Nothing In It

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A Box, with Nothing In It

Get it?

Polyhedral Rainbow Quilt

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Polyhedral Rainbow Quilt

This “quilt pattern” is based on the icosidodecahedron. I made it using Stella 4d, software you may try or buy at http://www.software3d.com/Stella.php.

Stellar Artifact III

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Stellar Artifact III

Software credit: I made this image using Stella 4d, available at http://www.software3d.com/Stella.php (free trial download available).

Stellar Artifact II

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Stellar Artifact II

Software credit: I made this image using Stella 4d, available at http://www.software3d.com/Stella.php (free trial download available).

Stellar Artifact

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Stellar Artifact

Software credit: I made this image using Stella 4d, available at http://www.software3d.com/Stella.php (free trial download available).

A Rhombicosidodecahedron, Augmented with Thirty Icosakaipentagonal Prisms

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A Rhombicosidodecahedron, Augmented with Thirty Icosagonal Prisms

When adding icosakaipentagonal prisms (those where the bases have 25 sides) to the thirty square faces of a rhombicosidodecahedron, the prisms can have one of two orientations. One is above, and here is the other one (click to enlarge):

Augmented Rhombicosidodeca

Software credit: I made these images using Stella 4d, available at http://www.software3d.com/Stella.php (free trial download available).

A Dodecahedron, Augmented with Twelve Pentagonal Cupolae

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A Rhombicosidodecahedron, with Twelve Pentagonal Cupolae Excavated

Software credit: I made this using Stella 4d, available at http://www.software3d.com/Stella.php (free trial download available).