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.
|Title of host publication||Proceedings of Bridges 2022|
|Subtitle of host publication||Mathematics, Art, Music, Architecture, Culture|
|Editors||D. Reimann, D. Norton, E. Torrence|
|Place of Publication||Phoenix|
|Number of pages||8|
|Publication status||Published - 2022|
|Event||Bridges Aalto 2022: Mathematics, Art, Music, Architecture, Culture - Aalto University, Helsinki and Espoo, Finland|
Duration: 1 Aug 2022 → 5 Aug 2022
|Conference||Bridges Aalto 2022|
|City||Helsinki and Espoo|
|Period||1/08/22 → 5/08/22|
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