On the geometry of stack-sorting simplices
Abstract
We show that all stack-sorting polytopes are simplices. Furthermore, we show that the stack-sorting polytopes generated from Ln1 permutations have relative volume 1. We establish an upper bound for the number of lattice points in a stack-sorting polytope. In particular, stack-sorting polytopes generated from 2Ln1 permutations have no interior points.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.