Sixfold Symmetry in Biomolecules: From Insulin to Eumelanins.

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Main Author: Okolo, Hanyelichukwu Paul
Format: Recurso digital
Published: Zenodo 2025
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author Okolo, Hanyelichukwu Paul
author_facet Okolo, Hanyelichukwu Paul
contents <div> <div> <div> <p>This paper explores the recurrence of sixfold symmetry in biomolecules, demonstrating how this mathematical pattern optimizes biological functions such as energy transfer, structural stability, and light capture. We survey a range of molecules, including insulin, DNA, ATP synthase, hemoglobin, chlorophyll, and viral capsids, each exhibiting sixfold symmetry in their structure or function. By connecting these biological examples to mathematical concepts like symmetry groups and packing efficiency, we reveal the deep interplay between mathematics and biology. The paper concludes by highlighting eumelanins as a prime example of sixfold symmetry in photoprotection, setting the stage for further exploration in related fields.</p> </div> </div> </div>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_15110076
institution Zenodo
language
publishDate 2025
publisher Zenodo
record_format zenodo
spellingShingle Sixfold Symmetry in Biomolecules: From Insulin to Eumelanins.
Okolo, Hanyelichukwu Paul
Sixfold symmetry
Biochemistry
Biochemistry
Dna
DNA
Packing Efficiency
Insulin
Insulin
Organized Complexity
<div> <div> <div> <p>This paper explores the recurrence of sixfold symmetry in biomolecules, demonstrating how this mathematical pattern optimizes biological functions such as energy transfer, structural stability, and light capture. We survey a range of molecules, including insulin, DNA, ATP synthase, hemoglobin, chlorophyll, and viral capsids, each exhibiting sixfold symmetry in their structure or function. By connecting these biological examples to mathematical concepts like symmetry groups and packing efficiency, we reveal the deep interplay between mathematics and biology. The paper concludes by highlighting eumelanins as a prime example of sixfold symmetry in photoprotection, setting the stage for further exploration in related fields.</p> </div> </div> </div>
title Sixfold Symmetry in Biomolecules: From Insulin to Eumelanins.
topic Sixfold symmetry
Biochemistry
Biochemistry
Dna
DNA
Packing Efficiency
Insulin
Insulin
Organized Complexity
url https://doi.org/10.5281/zenodo.15110076