The Towers of Fibonacci, Lucas, Pell, and Jacobsthal
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912985866305536 |
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| author | Mehiri, El-Mehdi Mneimneh, Saad Belbachir, Hacène |
| author_facet | Mehiri, El-Mehdi Mneimneh, Saad Belbachir, Hacène |
| contents | We present in this paper four new variants of the Tower of Hanoi problem, the optimal solution of each of these variants is related to one of the four known numbers Fibonacci, Lucas, Pell, and Jacobsthal. We give an optimal solution to each of these variants, and we present their associated graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_11045 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Towers of Fibonacci, Lucas, Pell, and Jacobsthal Mehiri, El-Mehdi Mneimneh, Saad Belbachir, Hacène Combinatorics Discrete Mathematics 05C57, 00A08, 03Dxx, 11B39 We present in this paper four new variants of the Tower of Hanoi problem, the optimal solution of each of these variants is related to one of the four known numbers Fibonacci, Lucas, Pell, and Jacobsthal. We give an optimal solution to each of these variants, and we present their associated graphs. |
| title | The Towers of Fibonacci, Lucas, Pell, and Jacobsthal |
| topic | Combinatorics Discrete Mathematics 05C57, 00A08, 03Dxx, 11B39 |
| url | https://arxiv.org/abs/2502.11045 |