From Teeth to Thorns: Coincidences Shape the Universal Form of Nature’s pointed tips

When Wear Shapes Pointed Tips

To test the hypothesis regarding mechanical wear, Kaare Hartvig Jensen and his research colleagues conducted a simple yet effective experiment. A handful of sharpened pencils were placed on a plate atop a shaking machine, where they were shaken around for 4.5 hours and constantly collided with one another—as if they were little gladiators in an arena.

In addition, the researchers also carried the pencils around in a small box in their pockets, again to expose them to random collisions and movements. This was not only practical but also a deliberate choice. The experiment was meant to be easy to relate to—and, in principle, something one could carry around in one’s own pocket and observe.

The pencils function as a so-called biomimetic model—that is, their tips mimic natural structures such as teeth, thorns, and stingers. Specifically, they represent an “unused” tip, as seen, for example, in the teeth of young animals. And the result is remarkable. For no matter how sharp the pencils were to begin with, their tips, as a result of the collisions, developed the same rounded parabolic shape. A shape that has otherwise often been explained as a result of evolution.

“This points to something more fundamental: that random processes in and of themselves can lead to a universal form. The parabola is a stable shape across scales, from a thorn to an elephant’s tusk. It appears to be a coincidence that this shape is also the most effective for biting, stabbing, or tearing. The tips are thus not necessarily designed perfectly from the start—they become so through random wear,” says Kaare Hartvig Jensen

Stone Age Tools and Pine Cones

The project is part of a larger research initiative supported by the Villum Foundation, which investigates so-called biological morphogenesis—that is, how organisms develop their forms.

The idea for the project arose as an extension of this work. The researchers’ ultimate goal is to understand which microscopic mechanisms—all the way down to the atomic level—can give rise to the patterns observed in nature.

In the future, the researchers hope to be able to study biological tips more directly in the laboratory. Unlike pencils, natural structures are rarely homogeneous or isotropic—that is, they are not the same in all directions. An elephant’s tusk, for example, has a hard, compact outer surface, while the structure inside is softer and more complex, with microscopic channels.

The pencil experiment shows, however, that wear leaves measurable traces in the shape, making it possible to deduce information about how an object has been used. In archaeological contexts, where it can be difficult to reconstruct how stone tools were used, such traces can be crucial.

“By analyzing wear patterns and the degree of rounding, we can begin to quantify the use—not just observe it. We can say something about how much a tool has been used and what it has been used for. In this way, even small changes in a pointed shape can provide insight into the life of an object or organism,” says Kaare Hartvig Jensen.

In addition, the experiment prompts reflection on the significant role physical and random processes play in nature.

“Nature can utilize physical processes. A good example is the pine cone: When it is wet, it is closed, but when it dries, it opens automatically and disperses its seeds. This is not an active biological process, but a physical effect driven by moisture and drying. It shows that not everything in nature is controlled by genes and proteins. Sometimes random and physical processes are both crucial and functional—and it’s wonderful to see how even random processes can be an advantage,” says Kaare Hartvig Jensen.