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 == |
| − | + | FIBONACCI(50) | |
| − | FIBONACCI(50) | ||
| − | LUCAS(50) | + | LUCAS(50) |
| − | FIBONACCI(50) | + | FIBONACCI(50) |
| − | + | .pieces(2) | |
| − | + | .map(r=>r[1]/r[0]) | |
| + | ~ | ||
| − | GOLDENRATIO() | + | GOLDENRATIO() |
| − | LUCAS(50) | + | LUCAS(50) |
| − | + | .pieces(2) | |
| − | + | .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] |
| − | |||
| − | |||
| − | |||
| − | |||
<br/> | <br/> | ||
| − | © Copyright 1996- | + | *[[Z3 | Z3 home]] |
| + | *[[Z^3 Language Documentation]] | ||
| + | *[[ZCubes_Videos | ZCubes Videos and Tutorials]] | ||
| + | *[[Main_Page | About ZCubes ]] | ||
| + | <br/> | ||
| + | <br/> | ||
| + | © Copyright 1996-2021, ZCubes, Inc. | ||
Latest revision as of 00:10, 11 March 2021
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
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]
© Copyright 1996-2021, ZCubes, Inc.