Kitaev, Sergey (2003) There are no iterated morphisms that define the Arshon sequence and the sigma-sequence. Journal of Automata, Languages and Combinatorics, 8 (1). pp. 43-50.Full text not available in this repository. Request a copy from the Strathclyde author
Berstel proved that the Arshon sequence cannot be obtained by iteration of a morphism. An alternative proof of this fact is given here. The $\sigma$-sequence was constructed by Evdokimov in order to construct chains of maximal length in the n-dimensional unit cube. It turns out that the $\sigma$-sequence has a close connection to the Dragon curve. We prove that the $\sigma$-sequence can not be defined by iteration of a morphism.
|Keywords:||Arshon sequence, morphism, dragon curve, Electronic computers. Computer science|
|Subjects:||Science > Mathematics > Electronic computers. Computer science|
|Department:||Faculty of Science > Computer and Information Sciences|
|Depositing user:||Pure Administrator|
|Date Deposited:||06 Sep 2014 02:16|
|Last modified:||27 Mar 2017 00:09|