MathDB
point inside heptagon, with 7 equal lengths 2016-17 Dürer Round1 C+5

Source:

December 9, 2022
geometryDurerHeptagon

Problem Statement

Is there a heptagon and a point PP inside it such that any vertex of the heptagon has its distance from PP equal to the length of the side opposite the vertex?
A side and a vertex are said to be opposite if the side is the fourth from the vertex page (in any direction).