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Duodecahedron
Visual representation
Alternate names
Combinatorial properties
vertices | 20 edges | 30 faces | 12 (12 pentagons)
Edge lengths
1 (30 edges)
Geometric properties
1/4 (15 + 7 sqrt(5))≈7.66312
3 sqrt(5 (5 + 2 sqrt(5)))≈20.6457
1/4 (sqrt(3) + sqrt(15))≈1.40126
1/4 (3 + sqrt(5))≈1.30902
1/20 sqrt(250 + 110 sqrt(5))≈1.11352
-30 tan^(-1)(2)≈-33.2145
(assuming unit edge length)
Schläfli symbol
{5, 3}
Wythoff symbol
3|2 5
Net
Skeleton graph
dodecahedral graph
Dual polyhedron
regular icosahedron
Dual skeleton graph
icosahedral graph
Symmetry group
icosahedral group
Properties
amphichiral | canonical | convex | equilateral | Goldberg | isohedron | Platonic | Platonic dual | rigid | simple | uniform | uniform dual | Zalgaller
Associated person
Plato