A set consisting of $n$ points of a plane is called a bosonti $n$-point if any three of its points are located in vertices of an isosceles triangle. Find all positive integers $n$ for which there exists a bosonti $n$-point.
Source: BdMO 2024 Secondary National P8
Tags: combinatorics, combinatorial geometry
A set consisting of $n$ points of a plane is called a bosonti $n$-point if any three of its points are located in vertices of an isosceles triangle. Find all positive integers $n$ for which there exists a bosonti $n$-point.