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# Tag Archives: cuboctahedron

## Honeycomb Made of Cuboctahedra and Octahedra

This is the three-dimensional version of what is called a tessellation in two dimensions. It fills space, and can be continued in all directions. Software used: Stella 4d, available here.

Posted in Mathematics
Tagged cuboctahedra, cuboctahedron, geometry, honeycomb, lattice, Mathematics, octahedra, octahedron, polyhedra, polyhedron
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## Spectral Circles on a Cuboctahedron

I used three programs to make this: Geometer’s Sketchpad, MS-Paint, and Stella 4d. The third of these may be tried for free at http://www.software3d.com/Stella.php.

Posted in Art, Mathematics
Tagged Art, cuboctahedron, geometric, geometrical, geometry, mathematical, Mathematics, polyhedra, polyhedron
4 Comments

## A Central Icosidodecahedron, Augmented with Twenty Cuboctahedra, and Twelve More Icosidodecahedra

Above and below, you will find two different coloring-schemes for this particular cluster of polyhedra. I made both of these rotating images using Stella 4d, software you can buy, or try for free, right here.

Posted in Mathematics
Tagged cluster, cuboctahedron, geometry, icosidodecahedron, Mathematics, polyhedra, polyhedral, polyhedron
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## Various Views of Three Different Polyhedral Compounds: Those of (1) Five Cuboctahedra, (2) Five of Its Dual, the Rhombic Dodecahedron, and (3) Ten Components — Five Each, of Both Polyhedra.

Polyhedral compounds differ in the amount of effort needed to understand their internal structure, as well as the way the compounds’ components are assembled, relative to each other. This compound, the compound of five cuboctahedra, and those related to it, … Continue reading

Posted in Mathematics
Tagged 10, 5, compound, cuboctahedra, cuboctahedron, five, geometry, Mathematics, polyhedra, polyhedral, polyhedron, rhombic dodecahedra, rhombic dodecahedron, ten
1 Comment

## Four-Part Compound of the Icosahedron, the Dodecahedron, the Cuboctahedron, and the Rhombic Dodecahedron

This compound was created using Stella 4d, software you can try for yourself here.

Posted in Mathematics
Tagged compound, cuboctahedron, dodecahedron, geometry, icosahedron, Mathematics, polyhedra, polyhedron, rhombic dodecahedron
1 Comment

## A Platonic/Catalan Compound and Its Dual, a Platonic/Archimedean Compound

Shown above: the compound of the icosahedron and the rhombic dodecahedron. Below is its dual, the compound of the dodecahedron and the cuboctahedron. Both these compounds were created using the “add/blend polyhedron from memory” function in Stella 4d: Polyhedron Navigator. … Continue reading

Posted in Mathematics
Tagged compound, cuboctahedron, dodecahedron, dual, geometry, icoahedron, Mathematics, polyhedra, polyhedron, rhombic dodecahedron
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## A Non-Convex “Cousin” of the Cuboctahedron

My guess is that this is a faceting of the cuboctahedron, but I didn’t use faceting when I made it with Stella 4d (a program you can try here), so I am not sure about this. Based on its appearance, … Continue reading

Posted in Mathematics
Tagged concave, cuboctahedron, geometry, non-convex, polyhedra, polyhedron
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