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Rhombitruncated Icosidodecahedron
Visual representation
Alternate names
Combinatorial properties
vertices | 120 edges | 180 faces | 62 (30 quadrilaterals, 20 hexagons, 12 decagons)
Edge lengths
1 (180 edges)
Geometric properties
95 + 50 sqrt(5)≈206.803
30 (1 + sqrt(2 (4 + sqrt(5) + sqrt(15 + 6 sqrt(5)))))≈174.292
1/2 sqrt(31 + 12 sqrt(5))≈3.80239
1/2 sqrt(30 + 12 sqrt(5))≈3.76938
(assuming unit edge length)
Schläfli symbol
t{3 5}
Wythoff symbol
2 3 5|
Net
Skeleton graph
great rhombicosidodecahedral graph
Dual polyhedron
disdyakis triacontahedron
Dual skeleton graph
disdyakis triacontahedral graph
Symmetry group
icosahedral group
Properties
amphichiral | Archimedean | canonical | convex | equilateral | rigid | simple | uniform | Zalgaller | zonohedron
Associated person
Archimedes