I made this rotating .gif file using Stella 4d. You can try this software for itself at http://www.software3d.com/Stella.php.
The Cube / Icosahedron Compound
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Tag Archives: polyhedron
The Dodecahedron / Octahedron Compound
This rotating image was assembled using Stella 4d, available at http://www.software3d.com/Stella.php.
A Collection of Four Polyhedra Decorated with Mandalas
First, a cuboctahedron.
Next, its dual, the rhombic dodecahedron.
And, after that, the icosidodecahedron.
And finally, its dual, the rhombic triacontahedron.
All of these rotating images were assembled using Stella 4d, available at http://www.software3d.com/Stella.php.
Two Colorings of a Hollow Stella Octangula
Both of these versions of the stella octangula, or compound of two tetrahedra, were made with Stella 4d, software available at http://www.software3d.com/Stella.php.
A Polyhedral Caltrop
Created using Stella 4d, available at http://www.software3d.com/Stella.php.
A Great Dodecahedron, Augmented with Twelve Icosidodecahedra, and Its Dual
Each face of a great dodecahedron is a regular pentagon, and each of those pentagonal faces has an icosidodecahedron attached to it, in the figure above. The dual of this figure appears below.
Both images were created with Stella 4d, software available at www.software3d.com/Stella.php.
Two Polyhedral Compounds
The image above is a compound of the rhombic triacontahedron (the dual of the icosidodecahedron) and a strombic hexacontahedron (the dual of the rhombicosidodecahedron). Below, you’ll find a compound of six square-based pyramids, all with their “centers of mass” (assuming uniform density) displaced, from the compound’s center, by equal amounts. In response to a request I have received, polyhedral images which rotate more slowly are coming soon . . . after I have finished posting my backlog of already-produced polyhedral .gif files, since there is no way to slow them down after they are already created.
The program I use for these polyhedral investigations is Stella 4d, available at www.software3d.com/Stella.php.
A Polyhedral Shuttlecraft, Adrift in Outer Space
Most of the polyhedra I post here have one of the symmetry-types which are collectively called “polyhedral” symmetry: tetrahedral, cuboctahedral, icosidodecahedral, or chiral variants of these. For a polyhedral representations of something like a shuttlecraft from Star Trek, though, such as this one, these symmetry-types must be abandoned.
Image credit: I made this using Stella 4d, available at www.software3d.com/Stella.php.
A Polyhedral Boomerang, in Flight
Most of the polyhedra I post here have one of the symmetry-types which are collectively called “polyhedral” symmetry: tetrahedral, cuboctahedral, icosidodecahedral, or chiral variants of these. For polyhedral representations of most real-world objects, though, such as this one, these symmetry-types must be abandoned.
Image credit: I made this using Stella 4d, available at www.software3d.com/Stella.php.
A Collection of Rotating Polyhedra with Cuboctahedral Symmetry
I have received a request to slow down the rotational speed of the polyhedral models I make and post here, and am going to try to do exactly that. First, though, I need to empty my collection of already-made image files which haven’t yet been posted, so that I can start again, with models which rotate more slowly, after deleting all the “speedy” ones. From my backlog of polyhedral images to post, then, here are some which have cuboctahedral symmetry.
This last one actually has the symmetry of a snub cube — a chiral variant of “normal” cuboctahedral symmetry.
All these images were created using Stella 4d: Polyhedron Navigator. If you’d like to try this program for yourself, the website to visit for a free trial download is www.software3d.com/Stella.php.
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