Difference between revisions of "ZCubes/Pascal Triangle and Fibonacci"

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  b=PASCALTRIANGLE(100)
 
  b=PASCALTRIANGLE(100)
 
  b.map(
 
  b.map(
−
function calcfib(r,i,d)
+
    function calcfib(r,i,d)
−
{
+
  {
−
var fib=0;
+
      var fib=0;
−
var j=0;
+
    var j=0;
−
for(var xi=i;xi>=0;xi--)
+
          for(var xi=i;xi>=0;xi--)
−
{
+
          {
−
fib+=isNaN(d[xi][j])?0:d[xi][j];
+
            fib+=isNaN(d[xi][j])?0:d[xi][j];
−
j++;
+
          j++;
−
}
+
                        }
−
return(fib)
+
              return(fib)
−
}
+
        }
−
)
+
      )
  
  

Revision as of 05:21, 19 August 2020

Pascal Triangle and Fibonacci


Pascal triangle can be generated easily in ZCubes. This video shows pattern of Fibonacci series using Pascal triangle using ZCubes.

Video


Pascal Triangle and Fibonacci














Code - Fibonacci and Pascal 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);

FIBONNACI(100)

b=PASCALTRIANGLE(100)
b.map(
   	function calcfib(r,i,d)
  	{
      		var fib=0;
    		var j=0;
          		for(var xi=i;xi>=0;xi--)
       	   	{
        	    		fib+=isNaN(d[xi][j])?0:d[xi][j];
       	   		j++;
                       }
             		return(fib)
       }
     )


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