2016-12-05 22:15:40 +01:00
The Fibonacci Word may be created in a manner analogous to the Fibonacci Sequence [http://hal.archives-ouvertes.fr/docs/00/36/79/72/PDF/The_Fibonacci_word_fractal.pdf as described here]:
2015-02-20 09:02:09 -05:00
2016-12-05 22:15:40 +01:00
Define F_Word<sub>1</sub> as '''1'''
Define F_Word<sub>2</sub> as '''0'''
Form F_Word<sub>3</sub> as F_Word<sub>2</sub> concatenated with F_Word<sub>1</sub> i.e.: '''01'''
Form F_Word<sub>n</sub> as F_Word<sub>n-1</sub> concatenated with F_word<sub>n-2</sub>
2015-02-20 09:02:09 -05:00
2016-12-05 22:15:40 +01:00
;Task:
Perform the above steps for n = 37.
2015-11-18 06:14:39 +00:00
2016-12-05 22:15:40 +01:00
You may display the first few but not the larger values of n.
<br><small>{Doing so will get the task's author into trouble with them what be (again!).} </small>
2015-11-18 06:14:39 +00:00
2016-12-05 22:15:40 +01:00
Instead, create a table for F_Words '''1''' to '''37''' which shows:
::* The number of characters in the word
::* The word's [[Entropy]]
;Related tasks:
* [[Fibonacci_word/fractal|Fibonacci word/fractal]]
* [[Entropy]]
* [[Entropy/Narcissist]]
<br><br>