Article
Geometric inequalities on parallelepipeds and tetrahedra
Journal for Geometry and Graphics
Publication Date
1-1-2020
Document Type
Article
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
Citation Information
Alana Bailey and Hidefumu Katsuura. "Geometric inequalities on parallelepipeds and tetrahedra" Journal for Geometry and Graphics Vol. 24 Iss. 2 (2020) p. 193 - 196 Available at: http://works.bepress.com/hidefumi_katsuura/12/