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This paper proposes a novel discrete differential geometry of n-simplices. It was originally developed for protein structure analysis. Unlike previous works, we consider connection between space-filling n-simplices. Using cones of an integer lattice, we introduce tangent bundle-like structure on a collection of n-simplices naturally. We have applied the mathematical framework to analysis of protein structures. In this paper, we propose a simple encoding method which translates the conformation of a protein backbone into a 16-valued sequence.

Discrete Differential Geometry of &lt;i&gt;n&lt;/i&gt;-Simplices and Protein Structure Analysis

Discrete Differential Geometry of <i>n</i>-Simplices and Protein Structure Analysis