Talk:Sturmian word

Clarify task

None of the submissions have an a or b in their code, or deal in any way with quadratic real numbers (not to/nor mention the stretch goal). The referenced continued fraction convergents task needs clarification, or you could use the a' search.
This task itself (probably) only needs minor clarification on how to find/use a'/convergents, for now we should stem the rot of further replication of the duff entries we already have (mea culpa).
I can almost see from the second half how one might print sqrt(2), but not the golden ratio. Rather than just ${\sqrt {a}}$, surely it should have a,b,m,n in and m,n out??? [doh: print the convergent!] Petelomax (talk) 16:14, 1 February 2024 (UTC)

The cf for ((sqrt(3)-1)/2) is [0;1,2,1,2..] and the sturmian word is apparently 010010010100100100101001001001... (from a ps file, I cannot verify that). Further, isn't 0.618033 the inverse golden ratio, which would be

01001010010010100101001001010010 whereas the golden ratio is actually 1.618033 which at least as I understand it should be

10110101101101011010110110101101? Gotta love it when someone dumps their homework here... Petelomax (talk) 06:51, 6 February 2024 (UTC)