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Numerical algorithms for problems in analysis and algebra, scientific computation

19 votes
2 answers
775 views

"Fractally self-similar" numbers

This is another question about visualization of Ford circles, the previous one being Confusion with practically implementing rational approximations. Here is an output of zooming into Ford circles at …
10 votes
1 answer
294 views

Confusion with practically implementing rational approximations

Writing a program visualizing Ford circles I've encountered a seemingly purely programmatic puzzle but then gradually realized there are some mathematical aspects of it which I don't understand. Let m …