Apollonian structure in the Abelian sandpile

The Abelian sandpile process evolves configurations of chips on the integer lattice by toppling any vertex with at least 4 chips, distributing one of its chips to each of its 4 neighbors. When begun from a large stack of chips, the terminal state of the sandpile has a curious fractal structure which...

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Bibliographic Details
Main Authors: Levine, Lionel, Pegden, Wesley, Smart, Charles
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer International Publishing 2017
Online Access:http://hdl.handle.net/1721.1/106972