Geometric inequalities on parallelepipeds and tetrahedra

Publication Date

1-1-2020

Document Type

Article

Publication Title

Journal for Geometry and Graphics

Volume

24

Issue

2

First Page

193

Last Page

196

Abstract

We prove an inequality comparing the sum of areas of faces of a parallelepiped to its the volume. Then we prove an inequality on a tetrahedron analogous to Weitzenböck’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.

Keywords

Parallelepiped, Tetrahedron, Weitzenböck’s inequality, Yetter’s theorem

Department

Mathematics and Statistics

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