Geodesic
Geometric Inequalities on Parallelepipeds and Tetrahedra
Journal for geometry and graphics, Tome 24 (2020) no. 2, pp. 193-196.

Voir la notice de l'article provenant de la source Heldermann Verlag

We prove an inequality comparing the sum of areas of faces of a parallelepiped to its volume. Then we prove an inequality on a tetrahedron analogous to Weitzenb\"ock's Inequality on a triangle using the inequality on a parallelepiped and Yetter's Theorem. We also give a short proof of Yetter's Theorem.
Classification : 51M16, 51M25
Mots-clés : Weitzenboeck's inequality, parallelepiped, tetrahedron, Yetter's Theorem 
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     author = {A. Bailey and H. Katsuura },
     title = {Geometric {Inequalities} on {Parallelepipeds} and {Tetrahedra}},
     journal = {Journal for geometry and graphics},
     pages = {193--196},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2020},
     url = {http://geodesic.mathdoc.fr/item/JGG_2020_24_2_JGG_2020_24_2_a3/}
}
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A. Bailey; H. Katsuura . Geometric Inequalities on Parallelepipeds and Tetrahedra. Journal for geometry and graphics, Tome 24 (2020) no. 2, pp. 193-196. http://geodesic.mathdoc.fr/item/JGG_2020_24_2_JGG_2020_24_2_a3/