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On a 3-Dimensional Isoperimetric Problem
Published online by Cambridge University Press: 20 November 2018
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Let L(P) denote the total edge length and A(P) the total surface area of a three-dimensional convex polyhedron P. In [5] it was shown that if P belongs to the set of all polyhedra with triangular faces then for all
with equality if and only if is a regular tetrahedron.
It is not difficult to establish the inequality
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