Tag Archives: rhombicosidodecahedron

An Expansion of the Rhombicosidodecahedron

This expanded version of the rhombicosidodecahedron has, as faces, 30 rhombi, 60 almost-square trapezoids, twelve regular pentagons, and twenty equilateral triangles, for a total of 122 faces. I made it using Stella 4d, software you may try for free at … Continue reading

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Ten Different Facetings of the Rhombicosidodecahedron

This is the rhombicosidodecahedron. It is considered by many people, including me, to be the most attractive Archimedean solid. To create a faceted polyhedron, the first step is to get rid of all the faces and edges, leaving only the … Continue reading

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A Variant of the Rhombicosidodecahedron Featuring Four Hexagons

This was made using Stella 4d, a program you can try for yourself at http://www.software3d.com/Stella.php.

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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

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A Flock of Rhombicosidodecahedra

It’s a little-known fact that rhombicosidodecahedra prefer to fly in flocks of sixty, as seen here. I made this using Stella 4d, available at this website.

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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

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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

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