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    3-simplex

    Visual representation

    Combinatorial properties

    vertices | 4 edges | 6 faces | 4 (4 triangles)

    Edge lengths

    1 (6 edges)

    Geometric properties

    1/(6 sqrt(2))≈0.117851

    sqrt(3)≈1.73205

    sqrt(3/2)/2≈0.612372

    1/(2 sqrt(2))≈0.353553

    1/(2 sqrt(6))≈0.204124

    -12 tan^(-1)(sqrt(2))≈-11.4638

    (assuming unit edge length)

    Schläfli symbol

    {3, 3}

    Wythoff symbol

    3|2 3

    Net

    Skeleton graph

    tetrahedral graph

    Dual polyhedron

    regular tetrahedron

    Dual skeleton graph

    tetrahedral graph

    Symmetry group

    tetrahedral group

    Properties

    amphichiral | canonical | convex | deltahedron | equilateral | isohedron | Platonic | Platonic dual | pyramid | rigid | self-dual | simple | uniform | uniform dual | Zalgaller

    Associated person

    Plato