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Tag Archives: cuboctahedron
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.
Posted in Mathematics
Tagged cuboctahedra, cuboctahedron, fill space, geometry, honeycomb, Mathematics, octahedra, octahedron, polyhedra, polyhedron, tesselation, tessellate
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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
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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
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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
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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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