Symmetry is one of five shorts featured in the film "Mathematical Peep Shows." The collection was made by Charles and Ray Eames for the IBM Mathematica Exhibit which opened in 1961. The degree to which an object is symmetrical is illustrated by the number of different positions in which it can fit into a box of its shape.
Reviews
Teringer
An Exercise In Nonsense
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Dotbankey
A lot of fun.
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Grimossfer
Clever and entertaining enough to recommend even to members of the 1%
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Lachlan Coulson
This is a gorgeous movie made by a gorgeous spirit.