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It would be wise to skip, or read very glancingly, this chapter on a first reading. The material on co-prime integers and Bézout relations is only needed for those who want to closely follow the proofs of Chap.  4 . Möbius maps are the main language of the renormalisation approach to the van Iterson diagram discussed at the end of Chap.  5 , but are not at all essential to understand the biological implications of the mathematics. The details of the matrix form of the Euclidean algorithm may only matter to those curious about the relationships between Fibonacci phyllotaxis and Escher prints.

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Co-primality, Continued Fractions, and Möbius Maps

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  • 发表日期：

    2025年

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  • Jonathan Swinton

摘要

It would be wise to skip, or read very glancingly, this chapter on a first reading. The material on co-prime integers and Bézout relations is only needed for those who want to closely follow the proofs of Chap.  4 . Möbius maps are the main language of the renormalisation approach to the van Iterson diagram discussed at the end of Chap.  5 , but are not at all essential to understand the biological implications of the mathematics. The details of the matrix form of the Euclidean algorithm may only matter to those curious about the relationships between Fibonacci phyllotaxis and Escher prints.