polyhedron | RobertLovesPi.net

Stained-Glass Polyhedron

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Stained-Glass Polyhedron

Created using Stella 4d, software available at http://www.software3d.com/Stella.php.

The images on the faces of this polyhedron may be seen in still black and white in the previous post. I used Geometer’s Sketchpad and MS-Paint to make the flat image, and then Stella 4d to put it all together. You may try Stella for free at http://www.software3d.com/Stella.php.

Twenty Irregular Hexagons, Rotating Around a Common Axis

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Twenty Irregular Hexagons, Rotating Around a Common Axis

This image was produced using Stella 4d, which you may try for free, right here: http://www.software3d.com/Stella.php.

Polyhedron Featuring Twenty Regular Enneagons, Twelve Regular Pentagons, and Sixty Isosceles Triangles

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Polyhedron Featuring Twenty Regular Nonagons, Twelve Regular Pentagons, and Sixty Isosceles Triangles

If the isosceles triangles in this polyhedron were close enough to being equilateral that close inspection would be required to tell the difference, this would be a near-miss to the Johnson Solids. However, in my opinion, this doesn’t meet that test — so I’m calling this a “near-near-miss,” instead.

Software credit: visit this website if you would like to try a free trial download of Stella 4d, the program I used to create this image.

Compound of a Slightly-Truncated Isocahedron and a Rhombic Triacontahedron

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Compound of a Slightly-Truncated Isocahedron and a Rhombic Triacontahedron

Software used: Stella 4d, available at http://www.software3d.com/Stella.php (including a free “try it before you buy it” trial download).

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