The unit square is divided into 10^12 squares..
Source: Tuymaada 2001, day 1, problem 4.
April 30, 2007
geometryperimetercombinatorics proposedcombinatorics
Problem Statement
Unit square is divided into smaller squares (not necessarily equal). Prove that the sum of perimeters of all the smaller squares having common points with diagonal does not exceed 1500.Proposed by A. Kanel-Belov