At Wolfram Mathworld you can find an intriguing plot of the
Fibonacci sequence represented in binary.
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:
Is this right? Surely 13 is wrong.
ReplyDelete(I spotted this by looking at "W+W=W; B+W=B; B+B=W+1" as any primary school kid would do!
@JohnBibby
ReplyDelete13 = 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