Egg and math: introducing a universal formula for egg shape

VG Narushin, MN Romanov… - Annals of the New York …, 2021 - Wiley Online Library
The egg, as one of the most traditional food products, has long attracted the attention of
mathematicians, engineers, and biologists from an analytical point of view. As a main …

Digital imaging assisted geometry of chicken eggs using Hügelschäffer's model

VG Narushin, MN Romanov, G Lu, J Cugley… - Biosystems …, 2020 - Elsevier
Highlights•Egg volume and surface area are valuable predictors of egg quality
traits.•Hügelschäffer's egg model was examined to describe contours of hen's eggs.•The …

Reimagining Archimedes: An innovative and accurate calculation of volumes and asserting another standard method for defining the surface area of quail and any …

VG Narushin, NA Volkova, AN Vetokh… - Food and Bioproducts …, 2024 - Elsevier
Egg-related research promises unique opportunities for food science and technology. There
is an urgent need to develop non-destructive methodologies for defining key egg …

Pear‐Shaped Eggs Evolved to Maximize the Surface Area‐to‐Volume Ratio, Increase Metabolism, and Shorten Incubation Time in Birds

VG Narushin, MN Romanov, DK Griffin - Integrative Zoology, 2024 - Wiley Online Library
Bird eggs can be spherical, ellipsoid, ovoid, or pear‐shaped (pyriform), the latter being the
most complex. There is however no unambiguous evolutionary/adaptive explanation for this …

A novel approach to egg and math: Improved geometrical standardization of any avian egg profile

VG Narushin, ST Orszulik… - Annals of the New …, 2023 - Wiley Online Library
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 …

[HTML][HTML] Comparison of egg-shape equations using relative curvature measures of nonlinearity

M Lian, K He, DA Ratkowsky, L Chen, J Wang, L Wang… - Poultry Science, 2024 - Elsevier
ABSTRACT A 2-dimensional (2D) egg-shape equation can be used to construct a 3D egg
geometry based on the hypothesis that an egg is a solid of revolution, which helps to …

How oviform is the chicken egg? New mathematical insight into the old oomorphological problem

VG Narushin, MN Romanov, G Lu, J Cugley, DK Griffin - Food Control, 2021 - Elsevier
The chicken egg, a major food product, has been, as a model oviform object, the focus of
advanced description in mathematical terms, and such a description has practical …

[HTML][HTML] Delineating an ovoidal egg shape by length and breadth: A novel two-parametric mathematical model

VG Narushin, MN Romanov, DK Griffin - Biosystems Engineering, 2022 - Elsevier
Mathematical characterisation of an egg shape implies, among other things, the possibility of
its description with simple and accurate formulae. Of mathematical models delineating …

Non-destructive evaluation of the volumes of egg shell and interior: Theoretical approach

VG Narushin, MN Romanov, DK Griffin - Journal of Food Engineering, 2021 - Elsevier
Describing the properties of table eggs requires the development of methods enabling to
look inside the egg without destroying it, suggesting a thorough theoretical study including …

What comes first: the egg or the mathematics? Review article

VG Narushin, MN Romanov, DK Griffin - Biology Bulletin, 2023 - Springer
When we wish to describe our Universe, our planet Earth, natural environment, and our
surroundings, artists often use imagery, whereas scientists attempt to use mathematical …