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Rhombitruncated Cuboctahedron
Visual representation
Alternate names
Combinatorial properties
vertices | 48 edges | 72 faces | 26 (12 quadrilaterals, 8 hexagons, 6 octagons)
Edge lengths
1 (72 edges)
Geometric properties
22 + 14 sqrt(2)≈41.799
12 (2 + sqrt(2) + sqrt(3))≈61.7552
1/2 sqrt(13 + 6 sqrt(2))≈2.31761
1/2 sqrt(12 + 6 sqrt(2))≈2.26303
(assuming unit edge length)
Schläfli symbol
t{3 4}
Wythoff symbol
2 3 4|
Net
Skeleton graph
great rhombicuboctahedral graph
Dual polyhedron
disdyakis dodecahedron
Dual skeleton graph
disdyakis dodecahedral graph
Symmetry group
octahedral group
Properties
amphichiral | Archimedean | canonical | convex | equilateral | rigid | simple | uniform | Zalgaller | zonohedron
Associated person
Archimedes