Eggspression

An interactive 3D egg you shape with four numbers. Every bird egg — from a near-spherical ostrich to a sharply conical murre — is one surface revolved around its long axis, and a single equation describes them all.

The formula

It renders the universal egg formula of Narushin, Romanov & Griffin (2021), which unifies the four classic egg geometries — sphere, ellipsoid, ovoid and pyriform — as special cases of one profile y(x). Four parameters drive it:

• L — length, tip to tip.
• B — breadth, the widest diameter.
• w — asymmetry; shifts the bulge toward the blunt end (0 = symmetric).
• D — the diameter a quarter-length from the tip; the term that lets the curve taper into a conical/pyriform shape.

Narushin, V. G., Romanov, M. N. & Griffin, D. K. (2021). Egg and math: introducing a universal formula for egg shape. Ann. N.Y. Acad. Sci. 1505, 169–177.

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Length L Long axis, tip to tip

Breadth B Widest diameter across the middle

Asymmetry w Shifts the bulge toward the blunt end — 0 = symmetric

¼-length Ø D Diameter a quarter-length from the tip; lower it for a conical/pyriform egg

Mesh detail Triangle density of the 3D surface

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