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It's been a long time since I made/shared interactive math on Observable, and I finally made small progress on an old project that lets one compute a number with greater transparency. (I still had to wrap certain "nuts and bolts" away, but you can see everything if you want.) So when you are told the first million digits of pi, you can do the first 20 and get a feel for it.

I thought it would be a good way to get calculus students appreciate error estimates: they are not just "estimates" for some true value, but are in the very definition of real (computable) numbers! At any rate, I thought it would make a good review at the end of first-year calculus, and something that may be easier to grade for the instructor. (I never got a chance to teach with this though.)

Lots more TODO, of course.

https://observablehq.com/@liuyao12/real-numbers-with-bigint