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Monday, October 3, 2022

The Abstract and the Concrete

Filed under: General — Tags: — m759 @ 9:42 am

Counting symmetries with the orbit-stabilizer theorem

The above art by Steven H. Cullinane is not unrelated to
art by Josefine Lyche. Her work includes sculpted replicas
of the above abstract  Platonic solids, as well as replicas of
my own work related to properties of the 4×6 rectangle above.
Symmetries of both the solids and the rectangle may be
viewed as permutations of  parts — In the Platonic solids,
the parts are permuted by continuous  rotations of space itself.
In the rectangle, the parts are permuted by non-continuous 
transformations, as in the I Ching . . . i.e., by concrete  illustrations
of change.

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