Identify all possible rotations and reflections that leave the cube invariant. Write these operations explicitly by labelling the vertices of the cube as A, B, C, etc. Show that the dual object is also left invariant by each symmetry operation. Argue that the converse is also true – all symmetrie

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Identify all possible rotations and reflections that leave the cube invariant. Write these operations explicitly by labelling the vertices of the cube as A, B, C, etc. Show that the dual object is also left invariant by each symmetry operation. Argue that the converse is also true – all symmetrie
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