Geometry of the Ovoids: Avian Eggs and Similar Asymmetric Forms

IF 0.5 Q4 PHYSICS, MATHEMATICAL
C. Mladenova, I. Mladenov
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引用次数: 0

Abstract

Despite the longstanding interest in the shapes of the eggs the available parametric descriptions in the modern literature are given only via purely empirical formulas without any clear relationships with their measurable parameters. Here we present geometrical models of the eggs based on Perseus spirics and Cassinian ovals which were known since the ancient time but their analytical parameterization was also absent in the meantime. Such ones have been found recently and the present work is based on the idea to use spirics or Cassinians as geometrical models of the eggs shapes. New explicit formulas for the volumes, surface areas and the curvatures of the avian eggs have been derived from the first principles and these have been compared with the available experimental data.
卵形体的几何形状:禽蛋和类似的不对称形状
尽管人们长期以来对鸡蛋的形状感兴趣,但现代文献中可用的参数描述仅通过纯粹的经验公式给出,与它们的可测量参数没有任何明确的关系。在这里,我们介绍了基于英仙座和卡西尼亚椭圆的蛋的几何模型,这些模型自古以来就为人所知,但同时也没有它们的分析参数化。最近发现了这样的蛋,目前的工作是基于使用spirics或Cassinian作为蛋形状的几何模型的想法。根据第一性原理导出了新的禽蛋体积、表面积和曲率的显式公式,并与现有的实验数据进行了比较。
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来源期刊
CiteScore
1.50
自引率
25.00%
发文量
3
期刊介绍: The Journal of Geometry and Symmetry in Physics is a fully-refereed, independent international journal. It aims to facilitate the rapid dissemination, at low cost, of original research articles reporting interesting and potentially important ideas, and invited review articles providing background, perspectives, and useful sources of reference material. In addition to such contributions, the journal welcomes extended versions of talks in the area of geometry of classical and quantum systems delivered at the annual conferences on Geometry, Integrability and Quantization in Bulgaria. An overall idea is to provide a forum for an exchange of information, ideas and inspiration and further development of the international collaboration. The potential authors are kindly invited to submit their papers for consideraion in this Journal either to one of the Associate Editors listed below or to someone of the Editors of the Proceedings series whose expertise covers the research topic, and with whom the author can communicate effectively, or directly to the JGSP Editorial Office at the address given below. More details regarding submission of papers can be found by clicking on "Notes for Authors" button above. The publication program foresees four quarterly issues per year of approximately 128 pages each.
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