| dc.contributor.author | Alkan, Altuğ | |
| dc.contributor.author | Fox, Nathan | |
| dc.contributor.author | Aybar, Orhan Özgür | |
| dc.date.accessioned | 2021-06-05T19:56:59Z | |
| dc.date.available | 2021-06-05T19:56:59Z | |
| dc.date.issued | 2017 | |
| dc.identifier.issn | 1076-2787 | |
| dc.identifier.issn | 1099-0526 | |
| dc.identifier.uri | https://doi.org/10.1155/2017/2614163 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12960/412 | |
| dc.description | 0000-0001-8353-2106 | en_US |
| dc.description | 0000-0001-8353-2106 | en_US |
| dc.description | WOS:000415970800001 | en_US |
| dc.description.abstract | 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. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Wiley-Hindawi | en_US |
| dc.relation.ispartof | Complexity | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | [No Keywords] | en_US |
| dc.title | On Hofstadter Heart Sequences | en_US |
| dc.type | article | en_US |
| dc.department | Lisansüstü Eğitim Enstitüsü, Hesaplamalı Bilim ve Mühendislik Ana Bilim Dalı | en_US |
| dc.department | İktisadi ve İdari Bilimler Fakültesi, Yönetim Bilişim Sistemleri Bölümü | en_US |
| dc.department-temp | [Alkan, Altug; Aybar, O. Ozgur] Piri Reis Univ, Grad Sch Sci & Engn, TR-34940 Istanbul, Turkey; [Fox, Nathan] Rutgers State Univ, Dept Math, 110 Frelinghuysen Rd, Piscataway, NJ USA | en_US |
| dc.contributor.institutionauthor | Alkan, Altuğ | |
| dc.contributor.institutionauthor | Aybar, Orhan Özgür | |
| dc.identifier.doi | 10.1155/2017/2614163 | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
