MathDB
Plane with parallelogramms

Source: Tuymaada 2015, Day 2, Problem 8, Senior League

July 10, 2017
combinatoricsgeometryparallelogram

Problem Statement

There are k(k+1)2+1\frac{k(k+1)}{2}+1 points on the planes, some are connected by disjoint segments ( also point can not lies on segment, that connects two other points). It is true, that plane is divided to some parallelograms and one infinite region. What maximum number of segments can be drawn ?
A.Kupavski, A. Polyanski
Back to ProblemsView on AoPS