ZCubes/Pascal vs Sierpinski Triangle

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-Pascal vs Sierpinski Triangle

   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=64;