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Apr 19, 2018 at 21:25 comment added J.J. Green The code is specifically for ℓp balls, my tests up to now are against the easy cases, I'd like some against the hard cases, and since explicit value are not (do no seem to be) known, I seek invariants.
Apr 19, 2018 at 16:20 comment added fedja The code specifically for $\ell^p$ balls, or for general (convex) shapes? In the latter case you'd be better off with creating some fancy surfaces whose areas you know exactly but in a non-trivial way.
Apr 19, 2018 at 16:10 comment added J.J. Green Something like "S(p) = f(S(p'))" using the obvious notation and for some function f, inequalities would also be useful. I've edited the question with my motivation.
Apr 19, 2018 at 16:07 history edited J.J. Green CC BY-SA 3.0
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Apr 19, 2018 at 16:00 comment added fedja Anything? Sure, we can say something any time, but it would be helpful if you get a bit more specific about the particular kind of "something" you are interested in.
Apr 19, 2018 at 15:28 history asked J.J. Green CC BY-SA 3.0