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Tag Archives: rhombicosidodecahedron
Cluster of Six Rhombicosidodecahedra
To make this cluster, start with a cuboctahedron, then augment each of its square faces with rhombicosidodecahedra. Although the cuboctahedron has cuboctahedral symmetry, this cluster does not — rather, it has tetrahedral symmetry. I created this using Stella 4d, which … Continue reading
Posted in Mathematics
Tagged cluster, geometry, Mathematics, polyhedra, polyhedral, polyhedron, rhombicosidodecahedra, rhombicosidodecahedron
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Open Octahedral Lattice of Cubes and Rhombicosidodecahedra
This pattern could be continued, indefinitely, into space. Here is a second view, in rainbow color mode, and with all the squares hidden. [These images were created with Stella 4d, software you may buy — or try for free — … Continue reading
Posted in Art, Mathematics
Tagged Art, cube, geometric, geometrical, geometry, lattice, mathematical, Mathematics, octahedral, octahedron, polyhedra, polyhedral, polyhedron, rhombicosidodecahedron
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A Compound of Ten Elongated Octahedra Which Is Also a Particular Faceting of the Rhombicosidodecahedron, Together with Its Dual
Thinking about the post immediately before this one led me to see if I could connect opposite triangular faces of a rhombicosidodecahedron to form a tenpart compound — and it worked with Stella 4d just as it had when I … Continue reading
Posted in Mathematics
Tagged 10, compound, dual, elongated, facet, faceted, faceting, geometry, Mathematics, octahedra, polyhedra, polyhedron, rhombicosidodecahedron, ten
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One of Many Possible Facetings of the Rhombicosidodecahedron
To make a faceted version of the rhombicosidodecahedron, one first (1) starts with a rhombicosidodecahedron, one of the Archimedean solids, then (2) removes the faces and edges of this polyhedron, leaving all the vertices in place, and then (3) connects … Continue reading
Posted in Mathematics
Tagged faceted, faceting, geometry, Mathematics, polyhedra, polyhedron, rhombicosidodecahedron
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A Central Icosahedron, Augmented with Twenty Rhombicosidodecahedra
A model this complex would have taken days to build by hand. With software called Stella 4d: Polyhedron Navigator, however, making this “virtual model” was easy. This program is available for purchase at this website — and there is a … Continue reading
Posted in Mathematics
Tagged cluster, geometry, icosahedron, Mathematics, polyhedra, polyhedral, polyhedron, rhombicosidodecahedron
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One of Many Faceted Rhombicosidodecahedra
This was created by making the dual of the 32nd stellation of the strombic hexacontahedron, which is itself the dual of the rhombicosidodecahedron. This technique for finding facetings works because faceting is the reciprocal function of polyhedral stellation. I did … Continue reading
Posted in Mathematics
Tagged faceted, faceting, function, geometry, mathematical, polyhedra, polyhedron, reciprocal, rhombicosidodecahedron
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