Problem A. 755. (September 2019)
A. 755. Prove that every polygon that has a center of symmetry can be dissected into a square such that it is divided into finitely many polygonal pieces, and all the pieces can only be translated. (In other words, the original polygon can be divided into polygons \(\displaystyle A_1, A_2,\dots, A_n\), a square can be divided into polygons a \(\displaystyle B_1, B_2,\dots, B_n\) such that for \(\displaystyle 1\le i\le n\) polygon \(\displaystyle B_i\) is a translated copy of polygon \(\displaystyle A_i\).)
Deadline expired on October 10, 2019.
16 students sent a solution. 7 points: Beke Csongor, Füredi Erik Benjámin, Hegedűs Dániel, Tóth 827 Balázs. 6 points: Bán-Szabó Áron, Győrffi Ádám György, Hervay Bence, Nagy Nándor, Szente Péter. 5 points: 4 students. 4 points: 1 student. 1 point: 1 student. 0 point: 1 student.