A novel approach to egg and math : Improved geometrical standardization of any avian egg profile
© 2023 The New York Academy of Sciences..
Developing 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.
| Medienart: |
E-Artikel |
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| Erscheinungsjahr: |
2023 |
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| Erschienen: |
2023 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:1529 |
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| Enthalten in: |
Annals of the New York Academy of Sciences - 1529(2023), 1 vom: 29. Nov., Seite 61-71 |
| Sprache: |
Englisch |
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| Beteiligte Personen: |
Narushin, Valeriy G [VerfasserIn] |
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| Links: |
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| Themen: |
Avian eggs |
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| Anmerkungen: |
Date Completed 16.11.2023 Date Revised 17.11.2023 published: Print-Electronic Citation Status MEDLINE |
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| doi: |
10.1111/nyas.15059 |
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| funding: |
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| Förderinstitution / Projekttitel: |
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NLM361403720 |
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| 100 | 1 | |a Narushin, Valeriy G |e verfasserin |4 aut | |
| 245 | 1 | 2 | |a A novel approach to egg and math |b Improved geometrical standardization of any avian egg profile |
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| 500 | |a Date Revised 17.11.2023 | ||
| 500 | |a published: Print-Electronic | ||
| 500 | |a Citation Status MEDLINE | ||
| 520 | |a © 2023 The New York Academy of Sciences. | ||
| 520 | |a Developing 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 | ||
| 650 | 4 | |a Journal Article | |
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| 650 | 4 | |a avian eggs | |
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| 650 | 4 | |a piecewise functions | |
| 650 | 4 | |a standard egg shape | |
| 700 | 1 | |a Orszulik, Stefan T |e verfasserin |4 aut | |
| 700 | 1 | |a Romanov, Michael N |e verfasserin |4 aut | |
| 700 | 1 | |a Griffin, Darren K |e verfasserin |4 aut | |
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