Triangle in a brick

Details Triangle in a brick Triangle in a brick

2010-10-08

arxiv.org/abs/1010.1607v1

Mathematics

Metric Geometry

6 pages, 4 figures

Scientific paper

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 $\frac{1}{\sqrt{2}}$? We prove that there are three optimal cases
in all which the edge lengthes of the triangles are $\sqrt{2}$, respectively.

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