Tricomplex Distance Estimation for Filled-in Julia Sets and Multibrot Sets
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| _version_ | 1866917652607270912 |
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| author | Parisé, Pierre-Olivier Brouillette, Guillaume Rochon, Dominic |
| author_facet | Parisé, Pierre-Olivier Brouillette, Guillaume Rochon, Dominic |
| contents | In this article, we present a distance estimation formula that can be used to ray trace 3D slices of the filled-in Julia sets and the Multibrot sets generated by the tricomplex polynomials of the form $η^p+c$ where $p$ is any integer greater than $1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1811_09697 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Tricomplex Distance Estimation for Filled-in Julia Sets and Multibrot Sets Parisé, Pierre-Olivier Brouillette, Guillaume Rochon, Dominic Dynamical Systems 37F50, 32A30, 30G35, 00A69 In this article, we present a distance estimation formula that can be used to ray trace 3D slices of the filled-in Julia sets and the Multibrot sets generated by the tricomplex polynomials of the form $η^p+c$ where $p$ is any integer greater than $1$. |
| title | Tricomplex Distance Estimation for Filled-in Julia Sets and Multibrot Sets |
| topic | Dynamical Systems 37F50, 32A30, 30G35, 00A69 |
| url | https://arxiv.org/abs/1811.09697 |