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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

14 votes

Structures that turn out to exhibit a symmetry even though their definition doesn't

From school days... Take positive reals x,y,z,w. The following statement is actually symmetric in x,y,z,w: "there exists an equilateral triangle of side length w, and a point whose distances from t …