Escher Symmetry

Escher Symmetry

M. C. Escher was a Dutch graphic artist who created incredible illustrations which were inspired by mathematics. For example, he filled the canvas with self-similar objects, whose contours fit into themselves, creating very impressive geometric symmetries.

See a very simple example of this idea in the following figure, which shows an object that is an orthogonal profile defined by a sequence of natural numbers representing the sequence of heights. We can take a copy of the object, rotate it 180 degrees and fit it perfectly into...

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