Difference between revisions of "ZCubes/Fibonacci Lucas and Golden Ratio"

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==Lucas, Fibonacci, Golden Ratio Relationship ==
+
==Code-Lucas, Fibonacci, Golden Ratio Relationship ==
  
<pre>
+
FIBONACCI(50)
FIBONACCI(50)
 
  
LUCAS(50)
+
LUCAS(50)
  
FIBONACCI(50)
+
FIBONACCI(50)
 
.pieces(2)
 
.pieces(2)
 
.map(r=>r[1]/r[0])
 
.map(r=>r[1]/r[0])
 +
~
 
 
GOLDENRATIO()
+
GOLDENRATIO()
 
 
LUCAS(50)
+
LUCAS(50)
 
.pieces(2)
 
.pieces(2)
 
.map(r=>r[1]/r[0])
 
.map(r=>r[1]/r[0])
 +
~
  
ROUND((GOLDENRATIO())^(1..10))
+
ROUND((GOLDENRATIO())^(1..10))
  
[(1+√5)/2,(1+√5)/2]
+
(1+√5)/2
 +
[(1+√5)/2,(1+√5)/2]
  
ops.on;
+
ops.on;
[(1+√5d100)/2,(1-√5d100)/2]
+
[(1+√5d100)/2,(1-√5d100)/2]
 
 
</pre>
 
  
  

Revision as of 04:15, 19 August 2020

Fibonacci Lucas and Golden Ratio


This video demonstrates that when we do certain computation of Fibonacci series and Lucas Series we see correlation with Golden Ratio.

Video


Fibonacci Lucas and Golden Ratio















Code-Lucas, Fibonacci, Golden Ratio Relationship

FIBONACCI(50)
LUCAS(50)
FIBONACCI(50)

.pieces(2) .map(r=>r[1]/r[0])

~
GOLDENRATIO()	
LUCAS(50)

.pieces(2) .map(r=>r[1]/r[0])

~
ROUND((GOLDENRATIO())^(1..10))
(1+√5)/2
[(1+√5)/2,(1+√5)/2]
ops.on;
[(1+√5d100)/2,(1-√5d100)/2]


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