English

Triangle in a brick

Metric Geometry 2010-10-11 v1

Abstract

In this paper we shall investigate the following problem: Which is the largest regular triangle in a brick with volume 1 and having edge lengthes greater than 12\frac{1}{\sqrt{2}}? We prove that there are three optimal cases in all which the edge lengthes of the triangles are 2\sqrt{2}, respectively.

Cite

@article{arxiv.1010.1607,
  title  = {Triangle in a brick},
  author = {A. G. Horvath},
  journal= {arXiv preprint arXiv:1010.1607},
  year   = {2010}
}

Comments

6 pages, 4 figures

R2 v1 2026-06-21T16:25:37.357Z