I created these using *Stella 4d*, which you can try for free at this website.

# Author Archives: RobertLovesPi

# A Symmetrohedron Derived From the Great Rhombicosidodecahedron

This solid has all the faces of the great rhombicosidodecahedron, plus 120 scalene triangles. I made it using *Stella 4d*, which you can try for free right here.

# Kepler’s “Stella Octangula,” With Ten Variants

Here’s Johonnes Kepler’s *Stella Octangula* — also known as the compound of two tetrahedra.

What follows are ten variants of this solid, all made using *Stella 4d: Polyhedron Navigator*, which you can try for free at http://www.software3d.com/Stella.php.

# A 90-Faced Polyhedron

This polyhedron has sixty kite faces and thirty octagonal faces. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

# A Polyhedron Featuring Twenty Regular Octadecagons and Twelve Regular Decagons

I made this using *Stella 4d*, which you can try for free right here.

# Regular Octadecagons As Faces of Symmetrohedra

I tried to make a symmetrohedron using regular octadecagons and regular decagons, but that combination forces the octadecagons to overlap, and that causes the would-be symmetrohedron to be non-convex.

I tried to augment these octadecagons with antiprisms, and then form the convex hull of the result. Here’s what I found:

I made these using *Stella 4d*, which you can try for free right here.

# A Face-Based Zonohedrified Rhombic Enneacontahedron

The decagons and octagons in this zonohedron are regular. The octadecagons are, sadly, only equilateral. I made this using *Stella 4d*, which you can try for free, right here.

# A Face-Based Zonish Icosidodecahedron

I made this using *Stella 4d*, which you can try for free at http://www.software3d.com/Stella.php.

# A Cube, Encased by the Apothems of Its Faces

I made this using *Stella 4d*, which you can try for free at this website.

## An Agglomeration of Triangles and Six Oblique Heptagonal Prisms

### Image

I made this using *Stella 4d,* which you can try for free right here.