Repeating Continued Fractions

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The continued fraction expansion of a quadratic irrational is eventually periodic; the converse is also true.

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The repeating sequence, the initial part of the continued fraction form, the value, and the first few convergents to that value are shown.

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Contributed by: Ed Pegg Jr (December 2008)
Additional contributions by: Andreas Lauschke
Open content licensed under CC BY-NC-SA


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