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    Icosahedron Stellations

    Visual representation

    Combinatorial properties

    vertices | 62 edges | 180 faces | 120 (120 triangles)

    Edge lengths

    1 (60 edges) | 1/2 (5 - sqrt(5)) (60 edges) | sqrt(5) - 1 (60 edges)

    Geometric properties

    25 sqrt(2)≈35.3553

    15 sqrt(30 (3 - sqrt(5)))≈71.8091

    ϕ/2 + 1≈1.80902

    1/2 sqrt(5/3 (3 + sqrt(5)))≈1.47706

    Skeleton graph

    disdyakis triacontahedral graph

    Dual skeleton graph

    great rhombicosidodecahedral graph

    Symmetry group

    icosahedral group

    Properties

    amphichiral | concave | rigid | simple | stellation

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