A list of problems in Plane Geometry with simple statement that remain unsolved

TL;DR

This paper presents a curated list of simple yet longstanding unsolved problems in Plane Geometry, highlighting their elementary statements and the persistent challenge they pose despite decades of effort.

Contribution

It compiles and discusses a set of elementary, unsolved problems in Plane Geometry that have remained unresolved for decades, emphasizing their enduring difficulty.

Findings

Problems remain unsolved after 40 years

Elementary statements do not imply easy solutions

Highlights the need for new approaches in geometry

Abstract

This article contains a short and entertaining list of unsolved problems in Plane Geometry. Their statement may seem naive and can be understood at an elementary level. But their solutions have refused to appear for forty years in the best case.