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Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.

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 …