IJPAM: Volume 78, No. 5 (2012)

THE MATHEMATICS OF EGG SHAPE

Yutaka Nishiyama
Department of Business Information
Faculty of Information Management
Osaka University of Economics
2, Osumi Higashiyodogawa Osaka, 533-8533, JAPAN


Abstract. This paper explains why the shapes of eggs are oval, and why eggs stop on slopes. After touching upon Descartes' and Cassini's oval curves, eggs are classified into 4 groups: oval, pyriform, circular, and elliptical. Because only oval and pyriform eggs stop on slopes, it is explained that egg shape may be related to Darwin's theory of evolution.

Received: February 8, 2012

AMS Subject Classification: 92B99, 00A09, 97A20

Key Words and Phrases: oval, Descartes' oval, Cassini's oval, circle, ellipse, Darwin's Theory of Evolution

Download paper from here.



Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 78
Issue: 5