Utomata

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Sandpile

Abelian sandpile model

Open in new tab ↗ · caclassicself-organisation 

///////////////////////////////////////
// abelian-sandpile
// https://en.wikipedia.org/wiki/Abelian_sandpile_model
//////////////////////////////////////

&sz = (64,64,1);

// neighbors
&V = #(0, 0);
&N = #(0, -1);
&S = #(0, 1);
&E = #(1, 0);
&W = #(-1, 0);

&centerDot = (sml( dst(C, 0), div(2, #.dim) ));

#A{
   dim = &sz;
   set = (0);
   run = 
   add(
      &centerDot, 
      add(
         mlt(&V,sml(&V, 0.99)),
         mlt(
            0.25,
            add(
               lrg(&W, 0.99),
               lrg(&N, 0.99),
               lrg(&E, 0.99),
               lrg(&S, 0.99)
            )
         )
      )
   );
}

~A { col = #A;}