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 …

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 …

Non-destructive measurement of chicken egg characteristics: Improved formulae for calculating egg volume and surface area

VG Narushin, MN Romanov, DK Griffin - Biosystems Engineering, 2021 - Elsevier
Highlights•Egg volume (V) and surface area (S) should be accurately estimated.•We used
Hügelschäffer's model and simulation to simplify formulae for V and S.•For this, non …

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 …

Egg-inspired engineering in the design of thin-walled shelled vessels: a theoretical approach for shell strength

VG Narushin, MN Romanov, DK Griffin - Frontiers in Bioengineering …, 2022 - frontiersin.org
A novel subdiscipline of bionics is emerging in the form of 'egg-inspired engineering'through
the use of egg-shaped ovoids as thin-walled tanks and building structures. Hügelschäffer's …

Hügelschäffer egg curve and surface

M Petrović, B Malešević - Applicable Analysis and Discrete Mathematics, 2023 - JSTOR
In this paper we consider Hügelschäffer cubic curves which are generated using appropriate
geometric constructions. The main result of this work is the mode of explicitly calculating the …

A novel model for eggs like pears: How to quantify them geometrically with a mathematical formula of two parameters?

VG Narushin, MN Romanov, DK Griffin - Journal of Biosciences, 2023 - Springer
Of the variety of bird egg shapes, perhaps the most fascinating and unusual are pyriform
(pear-shaped, or conical) eggs. Among oologists, there is still no consensus on what exactly …