ZCubes/Pascal vs Sierpinski Triangle

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Pascal vs Sierpinski Triangle


This video demonstrates how to generate Pascal triangle in Z and derive Sierpinski triangle from Pascal triangle in ZCubes.

Video


Pascal vs Sierpinski Triangle














Code

m=10; pt=PASCALTRIANGLE(m); a=pt

   .map(
    function(r,i)
    {
         var prefix=(REPEATCHAR(" ",(2*m-(2*i+1))/2).split(""));
           return(
                prefix
                 .concat(r.join(", ,").split(","))
                 .concat(prefix)
           )
      }
   );

(a);


m=32; pt=PASCALTRIANGLE(m);

m=10; pt=PASCALTRIANGLE(m).$(x=>x%2) a=pt

   .map(
    function(r,i)
    {
         var prefix=(REPEATCHAR(" ",(2*m-(2*i+1))/2).split(""));
           return(
                prefix
                 .concat(r.join(", ,").split(","))
                 .concat(prefix)
           )
      }
   );

(a);

m=32;

m=64;

Code

 m=32;
 pt=PASCALTRIANGLE(m).$(x=>x%2)
 a=pt
 .map(function (r,i) {
    var prefix= (REPEATCHAR(" ",(2*m-(2*i+1))/2).split(""));
    return(
        prefix
        .concat(r.join(", ,").split(","))
        .concat(prefix)
       )
   }
  );
 (a);

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