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Conference Papers Year : 1996

Narayana's Cows and Delayed Morphisms


Narayana's cows di er from Fibonacci's rabbits in that they begin to produce calves only in their fourth year. The sequence giving for each y ear the total number of calves and cows has been translated by one of us (T. J.) into a composition called Narayana's Cows. On the other hand, morphisms have been already used in music. In this paper we de ne \morphisms with delays." They are morphisms that mimic the behavior of Narayana's cows: a letter remains unchanged during a xed number of iterations of the morphism and then is transformed by the morphism. The sequences obtained can also be generated via morphism and letter replacement.
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hal-02986050 , version 1 (02-11-2020)


  • HAL Id : hal-02986050 , version 1


Jean-Paul Allouche, Tom Johnson. Narayana's Cows and Delayed Morphisms. Journées d'Informatique Musicale, May 1996, île de Tatihou, France. ⟨hal-02986050⟩


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