Snub rhombicuboctahedron

Snub rhombicuboctahedron
Schläfli symbol srr{4,3} =
Conway notation saC
Faces 74:
8+48 {3}
6+12 {4}
Edges 120
Vertices 48
Symmetry group O, [4,3]+, (432) order 24
Dual polyhedron Pentagonal tetracontoctahedron
Properties convex, chiral

The snub rhombicuboctahedron is a polyhedron, constructed as a truncated rhombicuboctahedron. It has 74 faces: 18 squares, and 56 triangles. It can also be called the Conway snub cuboctahedron in but will be confused with the Coxeter snub cuboctahedron, the snub cube.

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The snub rhombicuboctahedron can be seen in sequence of operations from the cuboctahedron.

Name Cubocta-
hedron
Truncated
cubocta-
hedron
Snub
cubocta-
hedron
Truncated
rhombi-
cubocta-
hedron
Snub
rhombi-
cubocta-
hedron
Coxeter CO (rC) tCO (trC) sCO (srC) trCO (trrC) srCO (htrrC)
Conway aC taC = bC sC taaC = baC saC
Image          
Conway jC mC gC maC gaC
Dual          

See also

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References

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  • John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, ISBN 978-1-56881-220-5
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