%0 Journal Article
%T The Three Gap Theorem (Steinhauss Conjecture)
%A Micaela Mayero
%J Computer Science
%D 2006
%I arXiv
%X We deal with the distribution of N points placed consecutively around the circle by a fixed angle of a. From the proof of Tony van Ravenstein, we propose a detailed proof of the Steinhaus conjecture whose result is the following: the N points partition the circle into gaps of at most three different lengths. We study the mathematical notions required for the proof of this theorem revealed during a formal proof carried out in Coq.
%U http://arxiv.org/abs/cs/0609124v1