English

Morikawa's Unsolved Problem

History and Overview 2020-08-04 v1 Metric Geometry

Abstract

By combining theoretical and computational techniques from geometry, calculus, group theory, and Galois theory, we prove the nonexistence of a closed-form algebraic solution to a Japanese geometry problem first stated in the early nineteenth century. This resolves an outstanding problem from the sangaku tablets which were at one time displayed in temples and shrines throughout Japan.

Cite

@article{arxiv.2008.00922,
  title  = {Morikawa's Unsolved Problem},
  author = {Jan E. Holly and David Krumm},
  journal= {arXiv preprint arXiv:2008.00922},
  year   = {2020}
}
R2 v1 2026-06-23T17:36:16.563Z