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    Solid Regular Hexahedron

    Example plot

    Example plot

    Alternate name

    solid regular hexahedron

    Equation

    2 z<=a and 2 x<=a and 2 y<=a and 2 x>=-a and 2 z>=-a and 2 y>=-a

    Solid properties

    (-a/2, -a/2, -a/2) | (-a/2, -a/2, a/2) | (-a/2, a/2, -a/2) | (-a/2, a/2, a/2) | (a/2, -a/2, -a/2) | (a/2, -a/2, a/2) | (a/2, a/2, -a/2) | (a/2, a/2, a/2)

    8

    S = 6 a^2

    x^_ = (0, 0, 0)

    V = a^3

    I = (a^2/6 | 0 | 0 0 | a^2/6 | 0 0 | 0 | a^2/6)

    Distance properties

    sqrt(3) a

    χ = 1

    s^_ = a Δ(3)

    V^_ = (3977/216000 - π^2/2160) a^3

    (where lengths and volumes refer to line segments and tetrahedra picked at random from points contained in the solid)

    Properties

    convex solids | hexahedra | parallelepipeds | solid polyhedra | regular solid polyhedra

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