tiling an infinite network with dominos
Source: IRAN RMM TST 2019 p3
March 11, 2020
combinatoricsTilingTSTIranian TST
Problem Statement
An infinite network is partitioned with dominos. Prove there exist three other tilings with dominos, have neither common domino with the existing tiling nor with each other.Clarifications for network: It means an infinite board consisting of square cells.