Munching Squares -- from Wolfram MathWorld

A plot of the cells on a grid satisfying bitwise XOR(a,b)<n for consecutive values of n=1, 2, . It is thought that it was discovered by Jackson Wright on the RLE PDP-1 around 1962 (Beeler et al. 1972). The plots above show the results in static and animated form for n=1 to 15 on a grid running from 0 to 15.

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Bimagic Square -- from Wolfram MathWorld

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Associative Magic Square -- from Wolfram MathWorld

Magic Square - Wolfram Demonstrations Project

Antimagic Square -- from Wolfram MathWorld

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Munching Square Thresholds - Wolfram Demonstrations Project