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 …

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 …

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 …

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 …

Mathematical characterisation of an egg shape implies, among other things, the possibility of
its description with simple and accurate formulae. Of mathematical models delineating …

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 …

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 …

Eggs of different bird species have different shapes. There exists formulas for describing the
usual egg shapes—eg, the shapes of chicken eggs. However, some egg shapes are more …

The general principles of ovoid shapes and their mathematical interpretation were
considered concerning previous data and experience. Previously, bird egg description was …

Hugelschaffer's egg-shaped curve is egg-shaped curve that is constructed by two non-
concentric circles using Newton's transformation known as hyperbolism. This study has …