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.
| Original language | English |
|---|---|
| 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 |
| Publisher | Tessellations Publishing |
| Pages | 221-228 |
| Number of pages | 8 |
| ISBN (Print) | 978-1-938664-42-7 |
| 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
| Conference | Bridges Aalto 2022 |
|---|---|
| Country/Territory | Finland |
| City | Helsinki and Espoo |
| Period | 1/08/22 → 5/08/22 |
Bibliographical note
Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-careOtherwise 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.