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    1. Mathematics
    2. Algebra
    3. Group Theory
    4. 30327

    Pemutation Groups : Order of Rigid Motions of a Cube

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    Find the order of the group of rigid motions of a cube.

    © BrainMass Inc. brainmass.com October 9, 2019, 4:22 pm ad1c9bdddf
    https://brainmass.com/math/group-theory/permutation-groups-order-rigid-motions-cube-30327

    Solution Preview

    A rigid motion of the cube can take the top face of the cube to any given face. This gives 6 choices. ...

    Solution Summary

    The order of the group of rigid motions of a cube is found.

    $2.19