Graphing Continued Fractions of Quadratic Irrationals
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Let ,
. The continued fraction of
is either finite (when
is a perfect square so that
is rational) or eventually periodic (when
is not a perfect square so that
is irrational).
Contributed by: George Beck (July 2012)
Open content licensed under CC BY-NC-SA
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[1] E. R. Burger, "A Tail of Two Palindromes," The American Mathematical Monthly, 112, 2005 pp. 311–321. mathdl.maa.org/mathDL/22/?pa=content&sa=viewDocument&nodeId=3154.
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