Mathematical brooding over an egg

Algebra and geometry can be brought to life with dynamic geometry software that allows the use of digital images. I will illustrate this statement by discussing how mathematical techniques, digital images, and dynamic geometry software can be used to analyze a real-world situation originating from poultry science. The topic is mathematical modeling of the shape of an egg, where the underlying question is: "What is the volume and surface area of a hen's egg?". Although the practical investigation is meant for students at pre-university level or at undergraduate level, I will not present a model lesson on mathematical egg shapes. I will only discuss various modeling approaches using algebraic, geometric, and regression techniques, which are also applicable in similar investigative work, and I will discuss how dynamic geometry software, and GeoGebra in particular, can be applied as a modeling tool.