square split into rectangles
Source: 45th International Tournament of Towns, Senior A-Level P3, Fall 2023
December 11, 2023
combinatorial geometry
Problem Statement
A square was split into several rectangles so that the centers of rectangles form a convex polygon.
a) Is it true for sure that each rectangle adjoins to a side of the square?
b) Can the number of rectangles equal 23 ?
Alexandr Shapovalov