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Madison Experimental Mathematics Lab (MxM) Geometry of Horospheres Computational Mathematics Research

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Geometry of Horospheres in Hyperbolic Groups

This project aims to understand and visualize horospheres in hyperbolic right-angled Coxeter groups. Using tools such as finite state machines and fiber products we are able to efficiently generate pieces of the horospheres of right-angled Coxeter Groups. The quick computation allows us to visualize the geometry in a manner not allowed for before. This gives us insight into the boundaries of such groups.

Spring 2023

MxM Spring Poster

Fall 2022

MxM Fall Poster

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Madison Experimental Mathematics Lab (MxM) Geometry of Horospheres Computational Mathematics Research

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