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Tag Archives: rhombicosidodecahedron
The Cubic Rhombicosidodecahedroid
I call the polyhedron above the cubic rhombicosidodecahedroid because it combines a cube’s six squares (shown in green) with the overall appearance of a rhombicosidodecahedron. For comparison, the latter two polyhedra are shown below. I made these rotating images using … Continue reading
Posted in Mathematics
Tagged cube, cubic, geometry, Mathematics, polyhedra, polyhedron, rhombicosidodecahedroid, rhombicosidodecahedron
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A Flock of Rhombicosidodecahedra
It’s a littleknown fact that rhombicosidodecahedra prefer to fly in flocks of sixty, as seen here. I made this using Stella 4d, available at this website.
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, rhombicosidodecahedra, rhombicosidodecahedron
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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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