MathDB
integer areas

Source: ICMC 2022 Round 2 P1

March 1, 2022
geometrycombinatorial geometrycollege contestsICMC

Problem Statement

Let SS be a set of 20222022 lines in the plane, no two parallel, no three concurrent. SS divides the plane into finite regions and infinite regions. Is it possible for all the finite regions to have integer area?
Proposed by Tony Wang
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