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Example of B2, a 4x4 matrix, with opposite edges identified with each other

Example of binatorix B2, with opposite edges identified - it contains all 16 2x2 binary matrices, each of which is only contributing 1 "bit" - an example of effective packing / compression.  Elements can also be shifted so that the binatorix exhibits 4-fold rotational symmetry. More details can be found at de Bruijn torus Wikipedia page , this object would be named a (4,4;2,2)_2 de Bruijn torus.