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A universal formula for avian egg shape

Narushin, Valeriy G., Romanov, Michael N, Griffin, Darren K. (2020) A universal formula for avian egg shape. bioRxiv, . Article Number 252148. (doi:10.1101/2020.08.15.252148) (KAR id:89257)


The bird’s oomorphology has far escaped mathematical formulation universally applicable. All bird egg shapes can be laid in four basic geometric figures: sphere, ellipsoid, ovoid, and pyriform (conical/pear-shaped). The first three have a clear mathematical definition, each derived from expression of the previous, but a formula for the pyriform profile has yet to be inferred. To rectify this, we introduced an additional function into the ovoid formula. The subsequent mathematical model fits a completely novel geometric shape that can be characterized as the last stage in the evolution of the sphere—ellipsoid—Hügelschäffer’s ovoid transformation applicable to any avian egg shape geometry. Required measurements are the egg length, maximum breadth, and diameter at the terminus from the pointed end. This mathematical description is invariably a significant step in understanding not only the egg shape itself, but how and why it evolved, thus making widespread biological and technological applications theoretically possible.

Item Type: Article
DOI/Identification number: 10.1101/2020.08.15.252148
Uncontrolled keywords: avian egg geometry, pyriform ovoids, Hügelschäffer's model, oomorphology
Subjects: Q Science > QH Natural history > QH324.2 Computational biology
S Agriculture > SF Animal culture
Divisions: Divisions > Division of Natural Sciences > Biosciences
Signature Themes: Food Systems, Natural Resources and Environment
Depositing User: Mike Romanov
Date Deposited: 14 Jul 2021 09:16 UTC
Last Modified: 09 Dec 2022 01:08 UTC
Resource URI: (The current URI for this page, for reference purposes)

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