The "Nautilus shell" materializes in real world Perez hourglass theory: Stripe Patterning of the Nautilus Shell in the Perez Hourglass Framework Addendum: Dynamic Morphogenesis, Empirical Validation, and Stripe Patterning of the Nautilus Shell in the Perez Hourglass Framework
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2026
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| _version_ | 1866902072488624128 |
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| author | Perez, Jean claude |
| author_facet | Perez, Jean claude |
| contents | <div dir="auto">The “Nautilus shell” materializes in real world Perez</div> <div dir="auto">hourglass theory: Stripe Patterning of the Nautilus</div> <div dir="auto">Shell in the Perez Hourglass Framework</div> <div dir="auto"> </div> <div dir="auto">Addendum:</div> <div dir="auto">Dynamic Morphogenesis, Empirical Validation, and</div> <div dir="auto">Stripe Patterning of the Nautilus</div> <div dir="auto">Shell in the Perez Hourglass Framework</div> <div dir="auto"> </div> <div dir="auto">Jean-Claude Perez , PhD Mathematics & Computer Science, Bordeaux</div> <div dir="auto">University.</div> <div dir="auto">Retired IBM Artificial Intelligence European Research Centre, Montpellier</div> <div dir="auto">Luc Montagnier Foundation.</div> <div dir="auto"><a href="mailto:jeanclaudeperez2@gmail.com" target="_blank" rel="noopener noreferrer">jeanclaudeperez2@gmail.com</a> ( mailto:<a href="mailto:jeanclaudeperez2@gmail.com" target="_blank" rel="noopener noreferrer">jeanclaudeperez2@gmail.com</a>)</div> <div dir="auto">@JCPEREZCODEX</div> <div dir="auto">ORCID <a href="https://orcid.org/0000-0001-6446-2042" target="_blank" rel="noopener noreferrer">https://orcid.org/0000-0001-6446-2042</a></div> <div dir="auto"> </div> <div dir="auto"> <div dir="auto">Abstract</div> <div dir="auto">This document explores a proposed mathematical interpretation of the growth</div> <div dir="auto">patterns and surface striping of the nautilus shell.</div> <div dir="auto">While the nautilus is known to follow a logarithmic spiral in biological studies, this</div> <div dir="auto">work introduces an alternative numerical framework involving exponential growth</div> <div dir="auto">and a custom recursive sequence.</div> <div dir="auto">The goal is to investigate whether visible striping patterns may correspond to</div> <div dir="auto">discrete mathematical laws</div> </div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19190691 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The "Nautilus shell" materializes in real world Perez hourglass theory: Stripe Patterning of the Nautilus Shell in the Perez Hourglass Framework Addendum: Dynamic Morphogenesis, Empirical Validation, and Stripe Patterning of the Nautilus Shell in the Perez Hourglass Framework Perez, Jean claude <div dir="auto">The “Nautilus shell” materializes in real world Perez</div> <div dir="auto">hourglass theory: Stripe Patterning of the Nautilus</div> <div dir="auto">Shell in the Perez Hourglass Framework</div> <div dir="auto"> </div> <div dir="auto">Addendum:</div> <div dir="auto">Dynamic Morphogenesis, Empirical Validation, and</div> <div dir="auto">Stripe Patterning of the Nautilus</div> <div dir="auto">Shell in the Perez Hourglass Framework</div> <div dir="auto"> </div> <div dir="auto">Jean-Claude Perez , PhD Mathematics & Computer Science, Bordeaux</div> <div dir="auto">University.</div> <div dir="auto">Retired IBM Artificial Intelligence European Research Centre, Montpellier</div> <div dir="auto">Luc Montagnier Foundation.</div> <div dir="auto"><a href="mailto:jeanclaudeperez2@gmail.com" target="_blank" rel="noopener noreferrer">jeanclaudeperez2@gmail.com</a> ( mailto:<a href="mailto:jeanclaudeperez2@gmail.com" target="_blank" rel="noopener noreferrer">jeanclaudeperez2@gmail.com</a>)</div> <div dir="auto">@JCPEREZCODEX</div> <div dir="auto">ORCID <a href="https://orcid.org/0000-0001-6446-2042" target="_blank" rel="noopener noreferrer">https://orcid.org/0000-0001-6446-2042</a></div> <div dir="auto"> </div> <div dir="auto"> <div dir="auto">Abstract</div> <div dir="auto">This document explores a proposed mathematical interpretation of the growth</div> <div dir="auto">patterns and surface striping of the nautilus shell.</div> <div dir="auto">While the nautilus is known to follow a logarithmic spiral in biological studies, this</div> <div dir="auto">work introduces an alternative numerical framework involving exponential growth</div> <div dir="auto">and a custom recursive sequence.</div> <div dir="auto">The goal is to investigate whether visible striping patterns may correspond to</div> <div dir="auto">discrete mathematical laws</div> </div> |
| title | The "Nautilus shell" materializes in real world Perez hourglass theory: Stripe Patterning of the Nautilus Shell in the Perez Hourglass Framework Addendum: Dynamic Morphogenesis, Empirical Validation, and Stripe Patterning of the Nautilus Shell in the Perez Hourglass Framework |
| url | https://doi.org/10.5281/zenodo.19190691 |