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 the 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.

- This article uses Java (1.4.2 or later) for several interactive applets created with GeoGebra. You may need to install or upgrade the Java plug-in.
- The following HTML symbols are used: − (minus), ′ (prime). If these do not display, you may need to upgrade your browser.
- The section about easy data collection in GeoGebra and regression analysis uses frames and Javascript.

- digital images
- analytic geometry
- dynamic geometry software (GeoGebra)

- Published August, 2008
- Copyright © 2008, André J.P. Heck

- Introduction
- Measuring is no piece of cake
- The egg as a surface of revolution
- A geometric approach
- Computing with ellipses and eggs
- An algebraic approach
- The egg curve as a regression curve
- Easy data collection in GeoGebra and regression analysis
- A potpourri of mathematical egg curves
- Dynamic use of digital images in GeoGebra
- Bringing mathematics to life via digital images and vice versa
- References