Compass constructions for egg shapes from 'Mathographics' by Robert Dixon, in JSXGraph.

1. Moss' egg
2. Thom's oval or eggs: I and II
3. √3:2:√7
4. Golden egg
5. Four-point egg

A couple of other egg shape generators

• Baker's egg, from "A Geometric Method for Determining Shape of Bird Eggs"
• A hyperbolic egg, which is the shape obtained by projecting an ellipse onto a hyperbolic space