A rigid motion of a cube can be thought of either as a permutation of its 8 vertices or as a permutation of its 6 sides. Find a rigid motion of a cube that has order 3, and express the permutation that represents it in both ways, as a permutation on 8 elements and as a permutation on 6 elements.© BrainMass Inc. brainmass.com March 4, 2021, 6:07 pm ad1c9bdddf
Rigid motions of a cube are investigated. The solution is detailed and well presented. The solution received a rating of "5" from the student who posted the question.