MathDB
TOT 1998 Spring AJ5 square is divided into 25 small squares

Source:

May 11, 2020
Tilingcombinatorial geometrycombinatoricsSquaresdiagonals

Problem Statement

A square is divided into 2525 small squares. We draw diagonals of some of the small squares so that no two diagonals share a common point (not even a common endpoint). What is the largest possible number of diagonals that we can draw?
(I Rubanov)