The images on the faces of this icosahedron appeared on this blog three posts ago, and were created with Geometer’s Sketchpad and MS-Paint. To project this image onto this polyhedron, and then generate this rotating .gif, I used a third program, Stella 4d. You may try this last program yourself, as a free trial download, at www.software3d.com/Stella.php.
This was created using Stella 4d, available at www.software3d.com/Stella.php.
The faces of the strombic hexacontahedron, the dual of the rhombicosidodecahedron, are kites. I have no explanation for why the word “strombic” applies to it — is a kite a “stromb?”
I’ve already googled it, followed many links, etc., and it’s still as puzzling to me as it was the first time I read it. If you have a solution to this puzzle, please post it in a comment.
Software used to create this image: Stella 4d: Polyhedron Navigator, available at www.software3d.com/Stella.php.
Truncating a cube once yields an Archimedean solid with six octagonal faces, and eight triangular faces, all regular. A second truncation can be made to produce the solid shown above. It also has, as faces, six regular octagons and eight equilateral triangles — and, in addition, twenty-four isosceles triangles.
I made this using Stella 4d, software you can try for yourself at www.software3d.com/Stella.php.
I made this using Stella 4d, available at http://www.software3d.com/Stella.php.
I made this with Stella 4d, a program you can find at http://www.software3d.com/Stella.php.
Since I stumbled across this by stellating other polyhedra, I’ve never seen what a face of one component of this compound looks like, without having part of that face covered. My best guess is that the faces (of which there are eight in each part of the compound) are kites.
I used Stella 4d, available at http://www.software3d.com/Stella.php, to make this, and a free trial download is available at that site.
I used Stella 4d, available at http://www.software3d.com/Stella.php, to make this.
I used Stella 4d, available at http://www.software3d.com/Stella.php, to make this.
I’d like to find a polyhedron with the same number of faces as there are days of the year. This is the closest I’ve come, so far.
The software I used, Stella 4d, may be purchased at http://www.software3d.com/Stella.php. There is also a free trial download available.
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