Other special cases of a square problem

2021/11/01 by Yasushi Ieno, Ieno, Yasushi
Mathematics · #FOS: Mathematics #General Mathematics (math.GM) #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2111.02888

openalex publication_date 2021/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

There exists "a square problem": in a unit square is there a point with four rational distances to the vertices? This problem is still regarded as unproved. Yang showed proofs for several special cases of the square problem. By the reference of Yang's researches, We have proved other special cases of this problem.

Related

• Several special cases of a square problem
• A Congruence Condition For The Four-Distance Problem
• Points at Rational Distance from the Vertices of a Unit Polygon
• The Rational Distance Problem for Isosceles Triangles with one rational side
• The Rational Distance Problem for Equilateral Triangles