Hypercubic billiard word: Difference between revisions
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* If a ternary billiard scale has a well-formed generator sequence, the WFGS must use either two or three distinct generators, since ternary billiard scales are MV3 or MV4. | * If a ternary billiard scale has a well-formed generator sequence, the WFGS must use either two or three distinct generators, since ternary billiard scales are MV3 or MV4. | ||
* A ''d''-ary billiard scale satisfies the two generalizations of balance listed on the article [[balanced word]]. | * A ''d''-ary billiard scale satisfies the two generalizations of balance listed on the article [[balanced word]]. | ||
* All [[distributionally even]] scales on any finite number of letters are billiard scales.<ref name="sano"/> | |||
== Determining whether a scale word is a billiard scale == | == Determining whether a scale word is a billiard scale == | ||