Geometry of the ovoids: reptilian eggs and similar symmetric forms

DOI10.7546/GIQ-25-2023-95-116zbMath1522.51014MaRDI QIDQ6171256

Clementina D. Mladenova, Ivaïlo M. Mladenov

Publication date: 11 August 2023

Published in: Geometry, Integrability and Quantization (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/geometry-integrability-and-quantization-papers-and-lecture-series/volume-25/issue-none/Geometry-of-the-Ovoids-Reptilian-Eggs-and-Similar-Symmetric/10.7546/giq-25-2023-95-116.full

zbMATH Keywords

curvaturecurveuniformizationovalselliptic integralsparameterizationelongationJacobian functionsPerseus spirics

Mathematics Subject Classification ID

Classical differential geometry (53A99) Euclidean analytic geometry (51N20)

Related Items (2)

Geometry of the ovoids: avian eggs and similar asymmetric forms ⋮ Yet another mathematical model of eggs: two-parametric Brandt's shapes

Cites Work

• The many faces of elastica
• The spiric sections of Perseus and the uniform parameterizations of the Cassinian ovals
• Analytical descriptions of Perseus spirics
• Geometry of the ovoids: avian eggs and similar asymmetric forms
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