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The dynamical formula for the uniformisation of the complement of the Mandelbrot set, arising from Douady and Hubbard's proof of the connectedness of {\displaystyle M}，gives rise to external rays of the Mandelbrot set. These rays can be used to study the Mandelbrot set in combinatorial terms and form the backbone of the Yoccoz parapuzzle.[15]

The dynamical formula for the uniformisation of the complement of the Mandelbrot set, arising from Douady and Hubbard's proof of the connectedness of {\displaystyle M}，gives rise to external rays of the Mandelbrot set. These rays can be used to study the Mandelbrot set in combinatorial terms and form the backbone of the Yoccoz parapuzzle.[15]

由Adrien Douady和 John H. Hubbard证明曼德布洛特集连通时，所用到的曼德布洛特集的补集均匀化的动力学公式，引出了曼德布洛特集的外部尾迹射线。可将这些射线进行组合来研究曼德布洛特集，形成 Yoccoz parapuzzle 的骨架。<ref>''The Mandelbrot set, theme and variations''. Tan, Lei. Cambridge University Press, 2000. {{isbn|978-0-521-77476-5}}. Section 2.1, "Yoccoz para-puzzles", [https://books.google.com/books?id=-a_DsYXquVkC&pg=PA121 p.&nbsp;121]</ref>

由Adrien Douady和 John H. Hubbard证明曼德布洛特集连通时，所用到的曼德布洛特集的补集均匀化的动力学公式，引出了曼德布洛特集的外部尾迹射线。可将这些射线进行组合来研究曼德布洛特集，形成 Yoccoz parapuzzle 的骨架。<ref>''The Mandelbrot set, theme and variations''. Tan, Lei. Cambridge University Press, 2000. ISBN:978-0-521-77476-5. Section 2.1, "Yoccoz para-puzzles", [https://books.google.com/books?id=-a_DsYXquVkC&pg=PA121 p.&nbsp;121]</ref>

   --[[用户:趣木木|趣木木]]（[[用户讨论:趣木木|讨论]]） form the backbone of the Yoccoz parapuzzle.[15]中的Yoccoz parapuzzle 暂不知道怎么翻译；点进链接为上文提出让-克里斯托夫·约科兹Jean-Christophe Yoccoz的页面 倾向于译为 形成了Jean-Christophe Yoccoz的对于该问题研究的理论框架

   --[[用户:趣木木|趣木木]]（[[用户讨论:趣木木|讨论]]） form the backbone of the Yoccoz parapuzzle.[15]中的Yoccoz parapuzzle 暂不知道怎么翻译；点进链接为上文提出让-克里斯托夫·约科兹Jean-Christophe Yoccoz的页面 倾向于译为 形成了Jean-Christophe Yoccoz的对于该问题研究的理论框架