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|Bowers style acronym||Ri|
|Faces||30 squares, 20 hexagons|
|Vertex figure||Butterfly, edge lengths √2 and √3 |
|Measures (edge length 1)|
|Dihedral angles||4–6 #1:|
|Number of external pieces||630|
|Level of complexity||36|
|Army||Semi-uniform ti, edge lengths (pentagons), (between ditrigons)|
|Abstract & topological properties|
|Symmetry||H3, order 120|
The rhombicosahedron, or ri, is a uniform polyhedron. It consists of 30 squares and 20 hexagons. Two squares and two hexagons meet at each vertex.
It is a faceting of the rhombidodecadodecahedron, using its 30 squares along with the 20 hexagons of the icosidodecadodecahedron.
The truncated great icosidodecahedron (x5/2x3x) is a degenerate polyhedron with 20 hexagons, 30 squares, and 12 doubly-wound pentagons. If those pentagrams are blended out, the result is the rhombicosahedron.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the rhombidodecadodecahedron.
External links[edit | edit source]
- Bowers, Jonathan. "Polyhedron Category 4: Trapeziverts" (#44).
- Klitzing, Richard. "ri".
- Wikipedia Contributors. "Rhombicosahedron".
- McCooey, David. "Rhombicosahedron"