Chip-Firing Revisited

A Peek into the Third Dimension

Conference paper (2022)

Authors

M. Skrodzki Computer Graphics and Visualisation
Ulrich Reitebuch Freie Universität Berlin
Research Group
Computer Graphics and Visualisation
Copyright: © 2022 M. Skrodzki, Ulrich Reitebuch
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Published Date

2022

Language

English

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Research Group

Computer Graphics and Visualisation

Abstract

Chip-firing was first introduced as a probabilistic game. Subsequently, it was generalized to arbitrary graph configurations and investigated mostly with regard to two-dimensional quad-grid layouts. In this paper, we lift chip-firing to the third dimension. Aside from the arising three-dimensional shapes, we are interested in the internal, two-dimensional structures. Furthermore, we explore the different shapes obtained by chip firing processes on various neighborhoods, such as the face-centered and the cube-centered grid as well as on a neighborhood inspired by knight moves.

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Bridges2022_221.pdf
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