April | 2013 | RobertLovesPi.net

Blue Rhombi

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Blue Rhombi

This was created with Stella 4d (site to try it: http://www.software3d.com/stella.php).

Also, here is a multi-colored version, made with the same software:

A Polyhedron In Need of a Name

This is the dual of the polyhedron from the previous post, although without any faces rendered invisible, as was the case with that one. I find it strongly reminiscent of the rhombic triacontahedron, but it has twice as many rhombi (sixty), as well as twenty triangles. Unlike the rhombic triacontahedron, this figure is chiral.

I can’t think of an appropriate name for this, so, if anyone has one, please leave your suggestion in a comment.

Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).

Sixty Trapezoids

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Sixty Trapezoids

Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).

Dipole

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Dipole

One Degree Angles

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One Degree Angles

I find the interference patterns in this diagram interesting. They’re an artifact of the computer display, of course — if you were seeing this on paper, it would look quite different.

In the program I used to make these (Geometer’s Sketchpad), you can select various objects. If everything is selected here, the interference pattern changes:

48 Green Rhombi

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48 Green Rhombi

Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).

Rotating Lattice of Squares and Invisible Hexagons

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Rotating Lattice of Squares and Invisible Hexagons

Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).

Compound of the Rhombic Dodecahedron and Its Third Stellation

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Compound of the Rhombic Dodecahedron and Its Third Stellation

One of the coolest things about the software I use to make these .gifs is the accidental discoveries. I didn’t even know this compound was possible until I stumbled upon it with Stella 4d. You can try this software at http://www.software3d.com/stella.php.