I created this using Stella 4d: Polyhedron Navigator. You may try this software, for free, at http://www.software3d.com/Stella.php.
A Tetrahedral Array of Pulsating Tetrahedra
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Tag Archives: Mathematics
One of Many Faceted Versions of the Great Rhombicosidodecahedron
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.
A Symmetrohedron Featuring Regular Pentagons and Hexagons, as Well as Isosceles Trapezoids
Four Zonohedra
To build these zonohedra, I used Stella4d, a program you may try for free at http://www.software3d.com/Stella.php.
An Unusual Non-Convex Polyhedron
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.
Normal and Expanded Versions of the Rhombic Enneacontahedron
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.
A Polyhedron with 240 Faces, All of Them Quadrilaterals
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.
Three Non-convex Polyhedra with Cuboctahedral Symmetry
These were all created using Stella 4d, a program you can try — for free — at http://www.software3d.com/Stella.php.
A Hybrid of the Snub Dodecahedron and the Truncated Icosahedron
I created this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
Twenty Hexagons and Sixty Pentagons
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