Software credit: I made this image using Stella 4d, available at http://www.software3d.com/Stella.php (free trial download available).
Stellar Artifact III
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Tag Archives: polyhedra
Stellar Artifact II
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Software credit: I made this image using Stella 4d, available at http://www.software3d.com/Stella.php (free trial download available).
Stellar Artifact
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Software credit: I made this image using Stella 4d, available at http://www.software3d.com/Stella.php (free trial download available).
A Rhombicosidodecahedron, Augmented with Thirty Icosakaipentagonal Prisms
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When adding icosakaipentagonal prisms (those where the bases have 25 sides) to the thirty square faces of a rhombicosidodecahedron, the prisms can have one of two orientations. One is above, and here is the other one (click to enlarge):
Software credit: I made these images using Stella 4d, available at http://www.software3d.com/Stella.php (free trial download available).
A Dodecahedron, Augmented with Twelve Pentagonal Cupolae
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Software credit: I made this using Stella 4d, available at http://www.software3d.com/Stella.php (free trial download available).
The Compound of Five Rhombic Dodecahedra
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This compound is unusual in that it is most attractive as a ball-and-stick model, with the faces rendered invisible, rather than the traditional coloring for compounds. In the traditional coloring, no faces are hidden, and each component of the compound is given faces of a different color. Here’s the same compound, rendered in the traditional manner:
Of course, matters of aesthetics are not subject to mathematical proof. Some might prefer the second version to the first.
Software credit: please see www.software3d.com/Stella.php to try or buy Stella 4d, the software I use to make these polyhedral images.
Three-Color Arrangement for the Dodecahedron
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There are well-known symmetrical 4- and 6-color arrangements for the dodecahedron, and the rhombic dodecahedron has such arrangements in 3, 4, and 6 colors. What’s different about the (Platonic) dodecahedron that the 3-color arrangement you see here doesn’t make the cut, yet there is one for the rhombic dodecahedron?
The answer: in the other arrangements mentioned, faces of the same color do not share edges. Here, they do, so this one is usually not listed with the others.
Software credit: please visit http://www.software3d.com/Stella.php and try the free download of Stella 4d available there. It’s the program I used to make this image. And, as for the color arrangements mentioned above, they’re pre-loaded into the Stella interface as easy-to-find options.
140-Faced Polyhedron Featuring Twenty Nonagons, Plus Sixty Each of Two Types of Pentagon
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Software credit: just visit http://www.software3d.com/Stella.php to try or buy the software, Stella 4d, which I used to make this polyhedron.
A Rainbow Dodecahedron, Made of Hexagons
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Software credit: see http://www.software3d.com/Stella.php to try or buy the software I used to make this. It’s called Stella 4d.
Dodecahedral Polyhedron Featuring Regular Icosagons, Regular Hexagons, Rectangles, and Isosceles Trapezoids
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Created with Stella 4d, software you can try and/or buy at http://www.software3d.com/Stella.php.
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