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Tag Archives: rhombicosidodecahedron
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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Four Different Clusters of Multiple Rhombicosidodecahedra
To make the cluster above, I began with the compound of five octahedra, which has 5(8) = 40 faces, all of them equilateral triangles. Next, I augmented each of those triangular faces with a single rhombicosidodecahedron — forty in all. … Continue reading
Posted in Mathematics
Tagged cluster, geometry, Mathematics, polyhedra, polyhedral, polyhedron, rhombicosidodecahedron
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Selections from the Second Hundred Stellations of the Rhombicosidodecahedron
This survey began in the last post, with selections from the first hundred stellations of this Archimedean solid. In this survey of the second hundred stellations, the first one I find noteworthy enough for inclusion here is the 102nd stellation. … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, rhombicosidodecahedron, series, stellated, stellation
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