Classification of Convex lattice polytopes
Heling Liu, Chuanming Zong
TL;DR
This paper investigates the classification of convex lattice polytopes based on their volume or number of lattice points, aiming to organize and understand their structural diversity.
Contribution
It introduces a systematic approach to classify convex lattice polytopes according to volume and cardinality, advancing the understanding of their geometric properties.
Findings
Established classification criteria for convex lattice polytopes
Identified key structural patterns related to volume and lattice points
Provided a framework for future enumeration and analysis
Abstract
In this paper we study the classification problem of convex lattice ploytopes with respect to given volume or given cardinality.
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Taxonomy
TopicsDigital Image Processing Techniques · Point processes and geometric inequalities · Computational Geometry and Mesh Generation