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Tag Archives: cuboctahedron
A Central Icosidodecahedron, Augmented with Twenty Cuboctahedra, and Twelve More Icosidodecahedra
Above and below, you will find two different coloringschemes 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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FourPart 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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A NonConvex “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, nonconvex, polyhedra, polyhedron
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A Cuboctahedral Cluster of Rhombic Dodecahedra
It is wellknown that the cuboctahedron and the rhombic dodecahedron are dual polyhedra. However, until I stumbled upon this, I was unaware that rhombic dodecahedra could actually be arranged into a cluster with the overall shape of a cuboctahedron. [Software … Continue reading
Posted in Mathematics
Tagged cluster, cuboctahedron, geometry, Mathematics, polyhedra, polyhedron, rhombic dodecahedron
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Cuboctahedral Cluster of Rhombic Triacontahedra
Due to their high number of planes of symmetry, rhombic triacontahedra make excellent building blocks to build other polyhedra. To make this, I used a program called Stella 4d, which you can try right here.
Posted in Mathematics
Tagged cluster, cuboctahedron, geometry, Mathematics, polyhedra, polyhedral, polyhedron, rhombic triacontahedra, rhombic triacontahedron
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