Affiliation:
1. Research Institute for Environment Treatment Zaporozhye Ukraine
2. Vita‐Market Ltd Zaporozhye Ukraine
3. Grove Wantage Oxfordshire UK
4. School of Biosciences University of Kent Canterbury UK
5. L. K. Ernst Federal Research Center for Animal Husbandry, Dubrovitsy Podolsk Moscow Oblast Russia
Abstract
AbstractDeveloping a geometric formulation of any biological object has a number of justifications and applications. Recently, we developed a universal geometric figure for describing a bird's egg in any of the possible basic shapes: spherical, ellipsoidal, ovoid, and pyriform. The formulation proved widely applicable but had a number of drawbacks, including a very obvious join between two parts of the egg. To correct this, we developed the Main Axiom of the universal mathematical formula. This essentially involved making the ordinate of the extremum of the function correspond to half the maximum egg breadth (B), and the abscissa to the reciprocal of the parameter w that reflects the shift of the vertical axis to its coincidence with B. This, in turn, helped us develop a new, simplified mathematical model without a nonbiological join. Experimental verification was performed to confirm the adequacy of the new geometric figure. It accurately described actual avian eggs of various shapes more closely than our previous model. To the best of our knowledge, our new, simplified equation can be applied as a standard for any bird egg that exists in nature. As a rather simple equation, it can be used in a broad range of applications.
Subject
History and Philosophy of Science,General Biochemistry, Genetics and Molecular Biology,General Neuroscience
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