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Tag Archives: rhombicosidodecahedron
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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Trinary Rhombicosidodecahedra
This image of three rhombicosidodecahedra “orbiting” a common center was made with Stella 4d, a program you may try for free at this website.
Posted in Mathematics
Tagged geometry, Mathematics, orbit, orbiting, polyhedra, polyhedron, rhombicosidodecahedra, rhombicosidodecahedron, trinary
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Five More Clusters of Rhombicosidodecahedra
Making the four different clusters of rhombicosidodecahedra seen in the post right before this one was fun, so I decided to make more of them. There are two different forms of the compound of twenty tetrahedra. To make the polyhedral … Continue reading
Posted in Mathematics
Tagged cluster, geometry, Mathematics, polyhedra, polyhedron, rhombicosidodecahedron
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