Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I have a list of Voronoi cells and would like to place the largest circle possible within each cell. What is the best way to do that?

Many thanks,


share|cite|improve this question
You mean only the bounded cells, right? Otherwise, there is no largest circle. – lhf Sep 22 '11 at 11:38
up vote 3 down vote accepted

There are algorithms for finding the largest circle inside a convex polygon but they're not very fast. See

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.