Surface Toppling on Cylindrical and Polyhedral Sandpiles

Year: 2023 Authors: Benjamin R. Trube

Core claim

Wrapping sandpile graphs onto cylinders and polyhedra produces novel, aesthetically distinctive stabilized patterns and nontrivial dependence on drop location and quantity.

Topics

Abelian sandpiles, surface toppling, stabilized patterns, polyhedral graphs, digital visualization

Domains

graph theory, chip-firing models, combinatorics, dynamical systems, generative art, data visualization, digital rendering, geometric design

Methods

graph simulation, toppling experiments, 3D rendering, texture mapping

Media

square lattice, cylindrical surface, cube surface, VPython

Source status

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