The Shape of Birds Eggs

D'Arcy Thomson in his "On Growth and Form" (1917)developed his method of transformed coordinates to study the geometric relationship between similar structures in different species.

Applying his ideas to the shape of birds eggs (viewed from the side), we start with a circle drawn on a square grid and deform it by deforming the grid

Different species of birds have different egg shapes. Drag the named grid points to change the shape of the birds egg.

The formula for the egg shape is taken from the paper:

"The Shape of Birds' Eggs" by P.H. Todd & I.H.M. Smart, J. Theoretical Biology, (1984) vol 106, pp 239 - 243