Regular and irregular sandpiles, mod 4.

All sand-piles shown here are 400x400 grains displayed as 800x800 pixel images. All logarithms are natural, no preservatives or artificial ingredients are used. Warning: the Surgeon General has not studied the health effects of the use of a logarithm with a transcendental base.

Grains in the center

Configuration just before a large avalanche

Black=0

Blue=1

Green=2

Cyan=3


Red intensity denotes number of cascades during avalanche.

Grains at random

Log-log plot of avalance number as a function of size
for 4,000,000 grains dropped.

Connect the dots.

Trim the fuzz.

Total avalanche density for 4,000,000 grains.
Clearly, stuff falls off the edge.

Configuration just before a large avalanche.

Black=0

Blue=1

Green=2

Cyan=3


Red bit set in avalanche location.

Avalanche shdow.

Red intensity denotes number of cascades during avalanche.

Just Playing Around