Problem #WSP-000230

Problems Discrete Mathematics Combinatorics

Problem

Draw how to tile the whole plane with figures, consisting of squares \(1\times 1\), \(2\times 2\), \(3\times 3\), \(4\times 4\), \(5\times 5\), and \(6\times 6\), where each square appears equal amount of times in the design of the figure. Can you think of two essentially different ways to do this?