The great rhombicosidodecahedron is also known as the truncated icosidodecahedron. I created this faceting of it using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.
To build these zonohedra, I used Stella4d, a program you may try for free at http://www.software3d.com/Stella.php.
To make this polyhedron using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php, I started with the cuboctahedron. I next dropped the symmetry of the model down from octahedral to tetrahedral, and then I stellated it 54 times.
The polyhedron above is the rhombic enneacontahedron. Sixty of its faces are wide (yellow) rhombi, while the other thirty are narrow (red) rhombi. The wider rhombi are arranged in twelve panels of five rhombi each. If those panels are moved outward from the center by just the right amount, the narrower rhombi have room to expand, becoming equilateral octagons:
Both of these rotating images were created using Stella 4d, a program you can try, for free, at http://www.software3d.com/Stella.php.
This polyhedron’s faces are four different types of quadrilaterals. Each type of face appears sixty times. I made it using Stella 4d: Polyhedron Navigator, a program you can try out for free at http://www.software3d.com/Stella.php.
These were all created using Stella 4d, a program you can try — for free — at http://www.software3d.com/Stella.php.
