Kolnaar, Sietse (2025) Analysis of sequences on the Kirby fractal. Bachelor's Thesis, Mathematics.
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Abstract
In this paper we analyse a sequence recurrence that is based on the Fibonacci recurrence. We classify sequence behaviours with only convergence on the odd or even index subsequences. These classifications give rise to the 'Kirby fractal' when viewed in the complex plane. We then show that this Kirby fractal is bounded. We conclude by analysing the number of periodic sequences on the boundary fractal.
| Item Type: | Thesis (Bachelor's Thesis) |
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| Supervisor name: | Sterk, A.E. and Luppes, R. |
| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 14 Jul 2025 10:05 |
| Last Modified: | 14 Jul 2025 10:05 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/36122 |
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