Zonohedrified Rhombicosidodecahedron with 870 Rhombic Faces

zonohedrified-rhombicosidodeca-870-faces

Manipulating known polyhedra in the effort to find new ones, as I did here, is made easy with Stella 4d, a program available at this website.

23 Polyhedra with Icosidodecahedral Symmetry

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

3, 4, 5, 6

3456

This post’s title is derived from the fact that the faces of the polyhedron above have three, four, five, and six sides. I created it using Stella 4d, which you can try for yourself here.

An Enneacontahedron

60-hexagons-30-rhombi

Enneacontahedra have ninety faces, and this is but one of many which are possible. I made it with Stella 4d, which you can try for free at this website: http://software3d.com/Stella.php.

Some Tetrahedral Stellations of the Truncated Cube

I created these with Stella 4d, which you may try for free at this website. To make a given polyhedral stellation appear larger, simply click on it.

Twisted Polyhedral Compound

twist5

I used Stella 4d to make this. You may try this program for free at http://wwwsoftware3d.com/Stella.php.

A Polyhedron Made of Enneagons and Pentagons

20-enneagons-and-6012-pentagons

This polyhedron has 20 enneagons and 12+60=72 pentagons (of two types) as faces. I made it using Stella 4d, which is available at http://www.software3d.com/Stella.php.

Polyhedron with 122 Faces

122-faces-total-60-trapezoids-30-rhombi-12-pentagons-and-20-triangles

The faces of this polyhedron are 12 regular pentagons, 20 equilateral triangles, 30 rhombi, and 60 almost-square trapezoids. I created it with Stella 4d, which is available at this website.

Triacontahedron with Two Dozen Pentagonal Faces

30-faces-with-24-pentagons-others-are-tetras

Of the thirty faces of this polyhedron, only the yellow parallelograms are not pentagons. I used Stella 4d to make this; you may try it for free at http://www.software3d.com/Stella.php.

Three Stellations of the Truncated Cube

12TH STELLATION OF Trunc Cube.gif

The polyhedron above is the 12th stellation of the truncated cube. The one below is the 14th.

14th-stellation-of-trunc-cube

The next one shown is the 18th and final stellation. If stellated again, the result is an ordinary truncated cube.

18th-and-final-stellation-of-trunc-cube

These virtual models were made using Stella 4d, software you may try for yourself at http://www.software3d.com/Stella.php.