Geodesic
On a 3-Dimensional Isoperimetric Problem
Canadian mathematical bulletin, Tome 13 (1970) no. 4, pp. 447-449

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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 
Kömhoff, Magelone. On a 3-Dimensional Isoperimetric Problem. Canadian mathematical bulletin, Tome 13 (1970) no. 4, pp. 447-449. doi: 10.4153/CMB-1970-083-4
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     author = {K\"omhoff, Magelone},
     title = {On a {3-Dimensional} {Isoperimetric} {Problem}},
     journal = {Canadian mathematical bulletin},
     pages = {447--449},
     year = {1970},
     volume = {13},
     number = {4},
     doi = {10.4153/CMB-1970-083-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1970-083-4/}
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