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

Voir la notice de l'article provenant de la source Cambridge University Press

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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