## 36 Rhombi in an Octadecagon

### Image

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The first of these two polyhedra also includes isosceles triangles, two types of isosceles trapezoids, and twelve regular pentagons.

It is also possible to make a similar polyhedron where the twelve pentagons are replaced by regular decagons, but only by allowing the twenty octadecagons to overlap.

These polyhedra were constructed using *Stella 4d*, which can be found at http://www.software3d.com/Stella.php.

The octagonal design on each face appears in the last post here, and was made using both *Geometer’s Sketchpad* and *MS-Paint*. After cropping this image, I projected it onto the faces of this polyhedron, the rhombic triacontahedron, using* Stella 4d*, a program you can try for yourself at http://www.software3d.com/php.

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