On Hofstadter Heart Sequences
Joint Authors
Aybar, Orhan Ozgur
Alkan, Altug
Fox, Nathan
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-20
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The Hofstadter Q-sequence and the Hofstadter-Conway $10000 sequence are perhaps the two best known examples of meta-Fibonacci sequences.
In this paper, we explore an unexpected connection between them.
When the Q-sequence is subtracted from the Conway sequence, a chaotic pattern of heart-shaped figures emerges.
We use techniques of Pinn and Tanny et al.
to explore this sequence.
Then, we introduce and analyze an apparent relative of the Q-sequence and illustrate how it also generates heart patterns when subtracted from the Conway sequence.
American Psychological Association (APA)
Alkan, Altug& Fox, Nathan& Aybar, Orhan Ozgur. 2017. On Hofstadter Heart Sequences. Complexity،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1142653
Modern Language Association (MLA)
Alkan, Altug…[et al.]. On Hofstadter Heart Sequences. Complexity No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1142653
American Medical Association (AMA)
Alkan, Altug& Fox, Nathan& Aybar, Orhan Ozgur. On Hofstadter Heart Sequences. Complexity. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1142653
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142653
