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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
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Generalized paper folding sequences $X^n_p$ and $(X_pY_q)^n$ where $X,Y{\in}\{R,L,U,D\}$, and $n,p,q{\in}\mathbb{N}$, and with $p,q{\geq}2$ are classified in this paper. We show that all generalized paper folding sequences $X^n_p$ are classified into one type if we classify generalize paper folding sequences along with the numbers of downwards and upwards. In addition, we investigate the numbers of downwards and upwards in $(X_pY_q)^n$ and prove that all generalized paper folding sequences $(X_pY_q)^n$ are classified into two types.
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참고문헌 (8)
참고문헌 신청
Jean-Paul Allouche / 1992 / The number of factors in a paperfolding sequence / Bull. Austral. Math. Soc 46:23~32
Bruce Bates / 2010 / Bruce Bates, Martin Bunder and Keith Tognetti, Mirroring and interleaving in the paperfolding sequence / App. Anal. Discrete Math 4:96~118
Christiane Bercoff / 1995 / A family of tag systems for paperfolding sequence / Lect. Notes Comput. Sc 600:303~312
Chandler Davis / 1970 / Number representations and dragon curves / J. Rec. Math 3:66~81
Michel Dekking / 2012 / Paperfolding, morphisms, planefilling, curves and fractal tiles / Theor. Comput. Sci 414(1):20~37
Bruce Bates / 2010 / Bruce Bates, Martin Bunder and Keith Tognetti, Mirroring and interleaving in the paperfolding sequence / App. Anal. Discrete Math 4:96~118
Christiane Bercoff / 1995 / A family of tag systems for paperfolding sequence / Lect. Notes Comput. Sc 600:303~312
Chandler Davis / 1970 / Number representations and dragon curves / J. Rec. Math 3:66~81
Michel Dekking / 2012 / Paperfolding, morphisms, planefilling, curves and fractal tiles / Theor. Comput. Sci 414(1):20~37
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