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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.

6 votes

Non-computational software useful to mathematicians

For making images and figures, Adobe Illustrator is very powerful, but Inkscape is an excellent opensource option. In fact Inkscape has better interaction with scripting so will be more useful for a l …
5 votes

math circles video lectures for school children?

Vi Hart's videos are excellent to get children of all ages thinking and playing with mathematical ideas. They also link back to many topics of school mathematics.
0 votes

Best online mathematics videos?

The amazing patterns that turn up in piece-wise isometries, like circles dancing in a rhomb: http://vimeo.com/23772888
68 votes
9 answers
12k views

When have we lost a body of mathematics because errors were found?

The history of mathematics over the last 200 years has many occasions when the fundamental assumptions of an area have been shown to be flawed, or even wrong. Yet I cannot think of any examples where, …
5 votes

Intuitive crutches for higher dimensional thinking

My standard answer to how I understand 4D is to say that I realise I do not understand 3D and go from there. This is glib, but I think it does conceal a trick that I do use. That is to stop trying to …
12 votes

An example of a beautiful proof that would be accessible at the high school level?

One of the keys to making a proof accessible to high school students (or just non-mathematicians) is to make the answer relevant. This gives a dual responsibility, to ensure that the theorem is motiva …