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  2. Logistic map - Wikipedia

    en.wikipedia.org/wiki/Logistic_map

    And the other three binary-expansion repeating sequences give the 3-cycle 110110110... → 101101101... → 011011011... → 110110110.... Either of these 3-cycles can be converted to fraction form: for example, the first-given 3-cycle can be written as ⁠ 1 / 7 ⁠ → ⁠ 2 / 7 ⁠ → ⁠ 4 / 7 ⁠ → ⁠ 1 / 7 ⁠.

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