homehome Home chatchat Notifications


Why is an egg shaped like an egg? Turns out, there's some serious math behind it

This isn't the first time researchers have had a crack at the shape of an egg.

Mihai Andrei
September 10, 2021 @ 8:04 am

share Share

Mathematicians, biologists, and even engineers have invested a surprising amount of time and effort into analyzing the shape of an egg. However, there are a few aspects that make eggs’ geometry special.

The egg is structurally sound enough to bear weight, while also being small enough to exit the body of some 10,000 species on Earth. The egg also rolls away on its side, but once it’s laid vertically, it doesn’t roll anymore.

Despite many efforts, however, eggs have resisted attempts to define their shape with an equation. Until now.

Image credits: Maria Ionova.

The new mathematical formula is based on four parameters: egg length, maximum breadth, the shift of the vertical axis, and the diameter at one-quarter of the egg length. Sounds simple enough, though the formula itself is anything but simple (as we’ll see in a moment).

Analysis of all egg shapes can be done using four geometric figures, the researchers explain — sphere, ellipsoid, ovoid, and pyriform (conical or pear-shaped). The first three are clearly defined mathematically, but the fourth is more problematic.

“Pyriform” is basically a fancy word for pear-shaped, and a mathematical formula for the pyriform profile hadn’t been developed until now. “To rectify this”, the researchers explain, “we introduce an additional function into the ovoid formula.”

Image credits: Narushin et al.

There’s a philosophical reward to mathematically understanding eggs, says Dr. Michael Romanov, Visiting Researcher at the University of Kent, and study author, explains:

“This mathematical equation underlines our understanding and appreciation of a certain philosophical harmony between mathematics and biology, and from those two a way towards further comprehension of our universe, understood neatly in the shape of an egg.”

But there’s more than just cracking one of nature’s mysteries here. There are some very useful applications to this formula. For starters, it is useful in biology research where it could help researchers better understand egg evolution and egg incubation for desired species. In the poultry industry, it could help to optimize equipment that works with egg shape or volume. It could also help researchers design new bio-inspired structures.

Dr. Valeriy Narushin, a former visiting researcher at the University of Kent, added:

“We look forward to seeing the application of this formula across industries, from art to technology, architecture to agriculture. This breakthrough reveals why such collaborative research from separate disciplines is essential.”

Well, all that’s left now is to look at the formula itself. Good luck.

The formula applies to any egg, be it snake eggs or platypus eggs, the researchers say.

If you’d like to take a deeper dive into what it all means, feel free to check out the full study here.

share Share

Pluto's Moons and Everything You Didn't Know You Want to Know About Them

Pluto may have been demoted to non-planet status, but it still commands a court of five moons, as is fitting for the king of darkness; after all, Pluto is the Roman equivalent of the Greek God Hades. For decades, we knew almost nothing about these moons but in 2015, the New Horizons mission changed that. […]

Japan Is Starting to Use Robots in 7-Eleven Shops to Compensate for the Massive Shortage of Workers

These robots are taking over repetitive jobs and reducing workload as Japan combats a worker crisis.

This Bizarre Martian Rock Formation Is Our Strongest Evidence Yet for Ancient Life on Mars

We can't confirm it yet, but it's as close as it gets.

A small, portable test could revolutionize how we diagnose Alzheimer's

A passive EEG scan could spot memory loss before symptoms begin to show.

Forget the wild-haired savages. Here's what Vikings really looked like

Hollywood has gravely distorted our image.

Is a Plant-Based Diet Really Healthy for Your Dog? This Study Has Surprising Findings

You may need to revisit your dog's diet.

Who Invented Russian Roulette? How a 1937 Short Story Sparked the Deadliest "Game" in Pop Culture

Russian Roulette is deadly game that likely spawned from a work of fiction.

What Do Ancient Egyptian Mummies Smell Like? "Woody", "Spicy" and Even "Sweet"

Scientists used an 'electronic nose' (and good old biological sniffers) to reveal the scents of ancient mummies.

A Massive Seaweed Belt Stretching from Africa to the Caribbean is Changing The Ocean

The Great Atlantic Sargassum Belt hit a record 37.5 million tons this May

Stone Age Atlantis: 8,500-Year-Old Settlements Discovered Beneath Danish Seas

Archaeologists took a deep dive into the Bay of Aarhus to trace how Stone Age people adapted to rising waters.