A Degree Six Inequality on Convex Quadrilaterals
Mazen Bou Khuzam
TL;DR
This paper establishes a new degree-six inequality specific to convex quadrilaterals, originating from geometric considerations related to the Atiyah-Sutcliffe conjectures on point configurations in three-dimensional space.
Contribution
It introduces a novel inequality of degree six for convex quadrilaterals, connecting geometric inequalities with conjectures in point configuration theory.
Findings
Proves a new degree-six inequality for convex quadrilaterals.
Links geometric inequalities to the Atiyah-Sutcliffe conjectures.
Provides a foundation for further exploration of geometric inequalities in higher dimensions.
Abstract
We prove a degree-six inequality on convex quadrilaterals. This inequality originated from work on the Atiyah-Sutcliffe conjectures on configurations of points in \Bbb{R} ^{3}.
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Taxonomy
TopicsPoint processes and geometric inequalities · Mathematics and Applications · graph theory and CDMA systems