OFFSET
0,7
COMMENTS
The 3D sandpile model follows the same rules as the 2D model except that cells topple and transfer one grain of sand to their six nearest neighbors when the cell contains 6 or more grains. Cells containing 0 to 5 grains are stable.
LINKS
Scott R. Shannon, Table of n, a(n) for n = 0..10000
Per Bak, Chao Tang, and Kurt Wiesenfeld, Self-organized criticality: An explanation of the 1/f noise, Phys. Rev. Lett. 59 (1987), 381-384.
Laura Florescu, Daniela Morar, David Perkinson, Nicholas Salter, and Tianyuan Xu, Sandpiles and Dominos, Electronic Journal of Combinatorics, Volume 22(1), 2015.
Luis David Garcia-Puente and Brady Haran, Sandpiles, Numberphile video, YouTube.com, Jan. 13, 2017.
Zach J. Shannon, Image of the occupied cells for a(96)=44, bisected along the y-z plane. The colors are red=1 (24 total cells), blue=3 (14 total cells), violet=5 (6 total cells) grains per cell.
CROSSREFS
KEYWORD
nonn
AUTHOR
Scott R. Shannon and Zach J. Shannon, Feb 19 2022
STATUS
approved