Chip-Firing Revisited: A Peek into the Third Dimension

Martin Skrodzki, Ulrich Reitebuch

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review


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.
Original languageEnglish
Title of host publicationProceedings of Bridges 2022
Subtitle of host publicationMathematics, Art, Music, Architecture, Culture
EditorsD. Reimann, D. Norton, E. Torrence
Place of PublicationPhoenix
PublisherTessellations Publishing
Number of pages8
ISBN (Print)978-1-938664-42-7
Publication statusPublished - 2022
EventBridges Aalto 2022: Mathematics, Art, Music, Architecture, Culture - Aalto University, Helsinki and Espoo, Finland
Duration: 1 Aug 20225 Aug 2022


ConferenceBridges Aalto 2022
CityHelsinki and Espoo

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.


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