Explore BrainMass
Share

Explore BrainMass

    Symmetry Group of a Buckyball Torus

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Find the symmetries of an origami buckyball torus using the Orbit-Stabilizer Theorem.
    The torus has 96 vertices, 24 heptagon faces, 48 hexagon faces, 24 pentagon faces.
    The torus is made from 288 pentagon-hexagon-zig-zag units (PHiZZ units)

    © BrainMass Inc. brainmass.com October 10, 2019, 4:27 am ad1c9bdddf
    https://brainmass.com/math/geometric-shapes/symmetry-group-buckyball-torus-460783

    Attachments

    Solution Preview

    The symmetry group G of the torus has three generators, a 30-degree counterclockwise rotation a about the central axis, a reflection b about the plane ...

    Solution Summary

    In this solution, we compute the symmetry group of a buckyball torus.

    $2.19