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286
MIRRORING AND INTERLEAVING IN THE PAPERFOLDING SEQUENCE.
"... Three equivalent methods of generating the paperfolding sequence are presented as well as a categorisation of runs of identical terms. We find all repeated subsequences, the largest repeated subsequences and the spacing of singles, doubles and triples throughout the sequence. The paperfolding seque ..."
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Three equivalent methods of generating the paperfolding sequence are presented as well as a categorisation of runs of identical terms. We find all repeated subsequences, the largest repeated subsequences and the spacing of singles, doubles and triples throughout the sequence. The paperfolding
Optimal Description of Automatic Paperfolding Sequences
, 1997
"... The class of 2automatic paperfolding sequences corresponds to the class of ultimately periodic sequences of unfolding instructions. We first show that a paperfolding sequence is automatic iff it is 2automatic. Then we provide families of minimal finitestate automata, minimal uniform tag sequence ..."
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The class of 2automatic paperfolding sequences corresponds to the class of ultimately periodic sequences of unfolding instructions. We first show that a paperfolding sequence is automatic iff it is 2automatic. Then we provide families of minimal finitestate automata, minimal uniform tag
An Ultrametric State Space with a Dense Discrete Overlap Distribution: Paperfolding Sequences
 J STAT PHYS
, 2011
"... We compute the Parisi overlap distribution for paperfolding sequences. It turns out to be discrete, and to live on the dyadic rationals. Hence it is a pure point measure whose support (as a closed set) is the full interval [−1,+1]. The space of paperfolding sequences has an ultrametric structure. O ..."
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Cited by 2 (1 self)
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We compute the Parisi overlap distribution for paperfolding sequences. It turns out to be discrete, and to live on the dyadic rationals. Hence it is a pure point measure whose support (as a closed set) is the full interval [−1,+1]. The space of paperfolding sequences has an ultrametric structure
An Irrationality Measure for Regular Paperfolding Numbers
"... Let F(z) = ∑ n�1 fnzn be the generating series of the regular paperfolding sequence. For a real number α the irrationality exponent µ(α), of α, is defined as the supremum of the set of real numbers µ such that the inequality α − p/q  < q−µ has infinitely many solutions (p, q) ∈ Z × N. In thi ..."
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Cited by 3 (0 self)
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Let F(z) = ∑ n�1 fnzn be the generating series of the regular paperfolding sequence. For a real number α the irrationality exponent µ(α), of α, is defined as the supremum of the set of real numbers µ such that the inequality α − p/q  < q−µ has infinitely many solutions (p, q) ∈ Z × N
The abelian complexity of the paperfolding word
 In: Discrete Mathematics 313.7 (2013
"... We show that the abelian complexity function of the ordinary paperfolding word is a 2regular sequence. 1 ..."
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We show that the abelian complexity function of the ordinary paperfolding word is a 2regular sequence. 1
Modeling Spatial Ability in Mental Rotation and PaperFolding
"... Spatial ability tests like mental rotation and paperfolding provide strong predictions of an individual’s achievement in science and engineering. What cognitive skills are involved in them? We use a computational model to analyze these tasks, asking how much information must be processed to perform ..."
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Spatial ability tests like mental rotation and paperfolding provide strong predictions of an individual’s achievement in science and engineering. What cognitive skills are involved in them? We use a computational model to analyze these tasks, asking how much information must be processed
Results 1  10
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286