It looks like it's using fibonnaci spirals. You might be able to find a plugin that will generate an array using them, then bend them down to fit the shape?
If some of the array scripts floating around scriptspot can't get it done then I would probably do... 1) Hand place each one, it might be laborious but it might be faster than trying to find a way to do it procedurally. 2) Use particleFX to populate the surface of a egg with the custom particle shape set to one scale mesh.…