MathDB
2022TTsJA7

Source: 2022 Tournament of towns Spring Junior A level

May 18, 2022
number theoryprime numbersgeometry

Problem Statement

Let pp be a prime number and let MM be a convex polygon. Suppose that there are precisely pp ways to tile mm with equilateral triangles with side 11 and squares with side 11. Show there is some side of MM of length pāˆ’1p-1.
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