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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

(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

Associated person

Plato