4.7 Article

Measurement of the neutral axis in avian eggshells reveals which species conform to the golden ratio

Related references

Note: Only part of the references are listed.
Article Multidisciplinary Sciences

Mathematical progression of avian egg shape with associated area and volume determinations

Valeriy G. Narushin et al.

Summary: The development of nondestructive techniques for estimating egg parameters requires a comprehensive approach based on mathematical theory. In this study, appropriate formulae were derived for calculating the parameters of pear-shaped eggs and other naturally occurring avian egg shapes.

ANNALS OF THE NEW YORK ACADEMY OF SCIENCES (2022)

Article Food Science & Technology

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

Valeriy G. Narushin et al.

Summary: The chicken egg has practical applications in mathematics and engineering. By using Hugelschaeuroffer's model, new geometrical formulae have been developed to accurately define external traits of chicken eggs.

FOOD CONTROL (2021)

Article Multidisciplinary Sciences

Egg and math: introducing a universal formula for egg shape

Valeriy G. Narushin et al.

Summary: Eggs have long fascinated mathematicians, engineers, and biologists, but a universally applicable mathematical formulation for the shape of a bird's egg has yet to be developed. By introducing an additional function, a new mathematical model was created to analyze and describe the geometric shape of eggs, providing a theoretical basis for widespread biological and technological applications.

ANNALS OF THE NEW YORK ACADEMY OF SCIENCES (2021)

Article Engineering, Chemical

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

Valeriy G. Narushin et al.

Summary: This study developed a mathematical method to compute the volume of the shell and interior of a chicken egg based on its external geometric dimensions and shell thickness, as well as derived theoretical formulae for calculating the air cell volume inside the egg. The research provides valuable insights into the properties of table eggs and how to measure them accurately.

JOURNAL OF FOOD ENGINEERING (2021)

Article Ornithology

Avian egg collections: museum collection bias driven by shape and size

Jamie E. Thompson et al.

JOURNAL OF AVIAN BIOLOGY (2020)

Article Agricultural Engineering

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

Valeriy G. Narushin et al.

BIOSYSTEMS ENGINEERING (2020)

Article Behavioral Sciences

Correlated evolution of nest and egg characteristics in birds

Jeno Nagy et al.

ANIMAL BEHAVIOUR (2019)

Article Biology

Mathematical interpretation of artificial ovoids and avian egg shapes (part I)

I. S. Mytiai et al.

REGULATORY MECHANISMS IN BIOSYSTEMS (2019)

Article Ornithology

Effect of composition on shape of bird eggs

D. Charles Deeming

JOURNAL OF AVIAN BIOLOGY (2018)

Article Multidisciplinary Sciences

Is the golden ratio a universal constant for self-replication?

Yu Liu et al.

PLOS ONE (2018)

Article Biochemistry & Molecular Biology

Mathematical modeling reveals spontaneous emergence of self-replication in chemical reaction systems

Yu Liu et al.

JOURNAL OF BIOLOGICAL CHEMISTRY (2018)

Article Biochemistry & Molecular Biology

TimeTree: A Resource for Timelines, Timetrees, and Divergence Times

Sudhir Kumar et al.

MOLECULAR BIOLOGY AND EVOLUTION (2017)

Article Multidisciplinary Sciences

Avian egg shape: Form, function, and evolution

Mary Caswell Stoddard et al.

SCIENCE (2017)

Article Agriculture, Multidisciplinary

Relationship between hatchability and non-destructive physical measurements of chicken eggs

V. G. Narushin et al.

JOURNAL OF AGRICULTURAL SCIENCE (2016)

Article Agriculture, Multidisciplinary

Relationship between hatchability and non-destructive physical measurements of chicken eggs

V. G. Narushin et al.

JOURNAL OF AGRICULTURAL SCIENCE (2016)

Article Multidisciplinary Sciences

Novel Fibonacci and non-Fibonacci structure in the sunflower: results of a citizen science experiment

Jonathan Swinton et al.

ROYAL SOCIETY OPEN SCIENCE (2016)

Article Biochemistry & Molecular Biology

Tree of Life Reveals Clock-Like Speciation and Diversification

S. Blair Hedges et al.

MOLECULAR BIOLOGY AND EVOLUTION (2015)

Article Multidisciplinary Sciences

A new time tree reveals Earth history's imprint on the evolution of modern birds

Santiago Claramunt et al.

SCIENCE ADVANCES (2015)

Review Ecology

The design and function of birds' nests

Mark C. Mainwaring et al.

ECOLOGY AND EVOLUTION (2014)

Article Agriculture, Dairy & Animal Science

Influence of eggshell ultrastructural organization on hatchability

B. Liao et al.

POULTRY SCIENCE (2013)

Article Materials Science, Paper & Wood

Location of the neutral axis in wood beams: A preliminary study

Sarah C. Betts et al.

WOOD MATERIAL SCIENCE & ENGINEERING (2010)

Article Construction & Building Technology

Neutral axis depth versus flexural ductility in high-strength concrete beams

LFA Bernardo et al.

JOURNAL OF STRUCTURAL ENGINEERING (2004)

Review Agriculture, Dairy & Animal Science

Egg physical characteristics and hatchability

VG Narushin et al.

WORLDS POULTRY SCIENCE JOURNAL (2002)

Article Agricultural Engineering

Shape geometry of the avian egg

VG Narushin

JOURNAL OF AGRICULTURAL ENGINEERING RESEARCH (2001)