MathDB

5

Part of 1995 Tuymaada Olympiad

Problems(1)

find n so that any 3 points of n are vertices of an isosceles triangle in plane

Source: Tuymaada 1995 p5

4/27/2019
A set consisting of nn points of a plane is called an isosceles nn-point if any three of its points are located in vertices of an isosceles triangle. Find all natural the numbers for which there exist isosceles nn-points.
combinatorial geometryisoscelesIsosceles Trianglecombinatorics