Interval variety: Difference between revisions

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== Open questions ==
== Open questions ==
* Why are (abstractly) SV4 scale patterns seemingly so rare?
* Why are (abstractly) SV4 scale patterns seemingly so rare?
** Conjecture: There are only finitely many SV4 [[circular word]]s of length ''n''.
** Conjecture: There are only finitely many SV4 primitive [[circular word]]s of length ''n''.
** Related may be the following conjecture: For a sufficiently long [[arity|ternary]] linear word, there exists ''k'' > 1 such that the interval class of ''k''-steps has at least 3 sizes and the interval class of (''k'' − 1)-steps also has at least 3 sizes.
** Related may be the following conjecture: For a sufficiently long [[arity|ternary]] linear word, there exists ''k'' > 1 such that the interval class of ''k''-steps has at least 3 sizes and the interval class of (''k'' − 1)-steps also has at least 3 sizes.
[[Category:Scale]]
[[Category:Scale]]