Geodesic
An Isoperimetric Inequality for Convex Polyhedra with Triangular Faces
Canadian mathematical bulletin, Tome 11 (1968) no. 5, pp. 723-727

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DOI

H. T. Croft [1] has conjectured that among all tetrahedra with fixed total edge length the regular one has the greatest surface area. In this note we prove the following result, which includes this conjecture as a special case 
Kömhoff, Magelone. An Isoperimetric Inequality for Convex Polyhedra with Triangular Faces. Canadian mathematical bulletin, Tome 11 (1968) no. 5, pp. 723-727. doi: 10.4153/CMB-1968-087-2
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     author = {K\"omhoff, Magelone},
     title = {An {Isoperimetric} {Inequality} for {Convex} {Polyhedra} with {Triangular} {Faces}},
     journal = {Canadian mathematical bulletin},
     pages = {723--727},
     year = {1968},
     volume = {11},
     number = {5},
     doi = {10.4153/CMB-1968-087-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-087-2/}
}
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