Tag Archives: rhombicosidodecahedron

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

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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 ten-part compound — and it worked with Stella 4d just as it had when I … Continue reading

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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

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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

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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

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On Binary Planets, and Binary Polyhedra

This image of binary polyhedra of unequal size was, obviously, inspired by the double dwarf planet at the center of the Pluto / Charon system. The outer satellites also orbit Pluto and Charon’s common center of mass, or barycenter, which … Continue reading

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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.

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