Pagina's

2012/09/09

Fibonacci sequence binary plot, Ed Pegg Jr.(2003)

At Wolfram Mathworld you can find an intriguing plot of the
Fibonacci sequence represented in binary.
The one below shows it for small value's, 
Fibonacci(5)=5,  101 binary,        black, white, black    
Fibonacci(6)=8, 1000 binary, black, white, white, white

  




















A larger one: Fibonacci(1730)

2 comments:

  1. Is this right? Surely 13 is wrong.
    (I spotted this by looking at "W+W=W; B+W=B; B+B=W+1" as any primary school kid would do!

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  2. @JohnBibby

    13 = 1*8 + 1*4 + 0*2 + 1*1 = 1101 (binary) = Black, Black, White, Black

    or try: http://shell.cas.usf.edu/math/mug/fib.htm
    at the bottom there are buttons: "binary Fibonacci display through 8", "binary Fibonacci display through 64", etc

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