Sturmian word: Difference between revisions

Content added Content deleted
imported>CosmiaNebula
(Continued fraction convergents)
imported>CosmiaNebula
(fibonacci word example)
Line 14: Line 14:


(If the programming language can represent infinite data structures, then that works too.)
(If the programming language can represent infinite data structures, then that works too.)

A simple check is to do this for the golden ratio <math>\frac{\sqrt{5}-1}{2}</math>, that is, <math>a=5, b=1, m = -1, n = 2 </math>, which would just output the [[Fibonacci word]].


Stretch goal: calculate the Sturmian word for other kinds of definable real numbers, such as cubic roots.
Stretch goal: calculate the Sturmian word for other kinds of definable real numbers, such as cubic roots.