This polyhedral image was created using Stella 4d, a program you can try for yourself, for free, at http://www.software3d.com/Stella.php.
The Sun, Earth, and Moon Adorning the Faces of a Great Rhombicosidodecahedron
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Tag Archives: Mathematics
Octahedra and Truncated Cubes Can Fill Space Without Leaving Any Gaps
I created this using Stella 4d, which you can try for free right here. It’s much like a tessellation, but in three dimensions instead of two.
Octahedra and Cuboctahedra Can Fill Space Without Leaving Any Gaps
I created this image using Stella 4d, which you can try for free right here. It’s much like a tessellation, but in three dimensions instead of two.
A Compound of the Great Stellated Dodecahedron and the Great Dodecahedron
In the picture above, each component of this compound has its own color. In the one below, each set of parallel faces is given a color of its own.
These images were made using Stella 4d, software you may try for yourself at this website.
One Dozen Icosahedra
I made this using Stella 4d, software you can try for yourself right here.
Tessellation of Rhombi and Tetraconcave Octagons
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A Radial Tessellation Using Three Types of Rhombi
The yellow rhombi have angles of 40 and 140 degrees, while the blue rhombi have angles of 80 and 100 degrees, just like in the last post here. However, that post did not include the red rhombi, which have angles of 60 and 120 degrees.
A Radial Tessellation Using Two Types of Rhombi
The yellow rhombi have angles which measure 40 and 140 degrees, while the blue rhombi’s angles measure 80 and 100 degrees.
A Zonohedron with 1382 Faces, Based on the Rhombicosidodecahedron
This zonohedron was formed from zones based on the faces, edges, and vertices of a rhombicosidodecahedron. The first image shows it colored by face type.
The second image has the faces colored by number of sides.
Finally, here’s one in “rainbow color mode.”
These images were all formed using Stella 4d: Polyhedron Navigator, which you can try for free right here.
A Compound of Three Trapezohedra
I came across this little beauty while exploring stellations of the triakis octahedron, which is the dual of the truncated cube. Its three components are each eight-faced trapezohedra, and it showed up as the sixth in that stellation-series.
Stella 4d: Polyhedron Navigator was used to make this rotating image. You may try it for free right here.
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