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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.

2 votes

What would you want to see at the Museum of Mathematics?

How to form your own math circle or some other teaching movies, especially with kids solving problems and having fun at it. I mentioned this in a comment, but it could use elaboration and advertisem …
4 votes

What would you want to see at the Museum of Mathematics?

Crystallography, illustrated by optical diffraction. See the repeated pattern under a magnifier, then project with different wavelengths (would a prism work or do you need different laser pointers). …
1 vote

Ingenuity in mathematics

a. Euler's computation of Zeta(2), (at first with only very weak, handwaving, or no convergence arguments), as redacted in Polya or here. Obviously amazingly ingenious, and interesting for artists, …
4 votes

Demonstrating that rigour is important

Isn't the point that human reason is generally frail altogether, especially when making conclusions by using long serial chains of arguments? So in mathematics where such extended arguments are rout …