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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.

38 votes

Proofs without words

This proof-without-words of the Pythagorean Theorem is far from a new one, but it's the first one I've ever seen 'in the wild' (this photo was snapped after finishing dinner at a Mongolian Grill resta …
4 votes

Important formulas in combinatorics

This is a little bit of a lark, but I would argue it still marks important progress in combinatorics: $T=1+T^2\implies T^7=T$. Specifically, this is the (loose) initial justification for the "Seven Tr …
4 votes

Good "casual" advanced math books

I'm surprised that no one has yet mentioned The Symmetries of Things by John Conway, Heidi Burgiel and Chaim Goodman-Strauss. It's ostensibly an introduction to symmetry groups but touches into classi …
0 votes

Best online mathematics videos?

It's not a single video (and sadly there hasn't been any new content in a year!), but Richard Borcherds's channel has some of the best math content I've seen. If I have to pick one I'll go with this v …