Revealing a “mathematical secret” inside the leaves of the Chinese money plant | sciences

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At first glance, plant leaves appear to be just a simple green surface, but scientists are discovering day after day that behind this calm appearance there is a surprising amount of regularity.

In a recent study, published in the journal Nature Communications, researchers found that the leaves of the Chinese money plant, a houseplant known for its beautiful circular leaves, hide within them a precise geometric pattern similar to what humans use in computer science and city planning.

The basic idea in the study is that the veins of the leaf are not spread randomly as we might imagine, but rather they are distributed in a manner close to a mathematical pattern called a “Voronoi diagram,” which divides the space into regions, such that each region is closer to a specific central point than any other point.

To understand the matter, we can imagine a city that includes several schools. Neighborhoods can be divided so that each student goes to the school closest to his home. This is exactly Voronoi logic, where the space is divided around central points in an organized and efficient way.

Plant leaf engineering "Cold Spring Harbor Laboratory)
Leaf Engineering (Cold Spring Harbor Laboratory)

Precision engineering

In the case of the Chinese money plant, researchers found that there are small openings in the leaf called hydathodes, which help the plant get rid of excess water.

According to the study, the annular veins in the leaf form around these openings in a way that resembles the boundaries of regions in a Voronoi diagram, where each small opening has its own “region” within the leaf, and the veins demarcate the boundaries between these regions.

The importance of the discovery lies precisely at that point, as the paper arrives at an organized engineering solution through simple biological interactions that occur during growth. That is, plant cells, through chemical and local signals, ultimately produce a shape that resembles an advanced mathematical algorithm.

This then opens an important door to understanding how leaf veins are formed in plants. Leaf veins are not just decorative lines, but rather a vital network that transports water and nutrients, and helps the leaf survive and work efficiently. The more scientists understand how these networks are formed, the more they understand how living organisms organize their bodies from the inside.



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