The stunning variety of all seashell shapes in the ocean can be explained by just three simple geometric rules.
April 29, 2026
Original Paper
Local growth laws determine global shape of molluscan shells
arXiv · 2604.21988
The Takeaway
Scientists have puzzled over how different mollusks create such a dizzying array of spirals, cones, and ridges. This research shows that these complex structures are not dictated by a massive genetic blueprint. Instead, they emerge from a simple local growth law that repeats a single geometric step over and over. By adjusting just three variables like scaling and orientation, you can recreate the shape of almost any known shell. It proves that nature uses elegant mathematical shortcuts to build the most intricate architectures of the deep sea. This discovery simplifies a massive branch of biological diversity into basic geometry.
From the abstract
Molluscan shells come in various shapes and sizes. Despite this diversity, each species produces a shell with a characteristic shape that is independent of environmental conditions. We seek to understand this robust complexity. We are guided by two principles in the spirit of D'Arcy Thompson. First, the growth is governed by the repeated and continuous application of a fixed growth law, even as the shell evolves in overall shape, without any complex biological machinery to monitor and control th