Two Polyhedra Featuring Twenty Regular Octadecagons Each

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

reg octadecagons

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.

Unnamessd

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

Rhombic Triacontahedron Featuring Octadecagonal Designs On Its Faces

Image

Rhombic Triacontahedron Featuring Octadecagonal Designs On Its Faces

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.