Ms Dillon
Philosophers, including Plato, Descartes, and Kant, all explored the origins of geometry and the role of human thought in shaping it. However, scientists did not begin experimentally studying how geometry is learned until the second half of the 20th century.
“Animals that have never studied angles or triangles can navigate efficiently and simulate that navigation in their minds to plan their routes—and even babies seem to understand something about distance, direction, and shape,” adds Dillon, whose 2023 study found that infants could outperform AI in certain cognitive tasks. “These abilities rely on geometry that captures some, but not all, of the properties of Euclidean geometry.”
Published 27th May 2026 by New York University
https://scitechdaily.com/new-researc...niquely-human/
It Grows On Trees
Scientists Discover Hidden Math Secret Inside Chinese Money Plants
People often spot familiar shapes in random places. Maybe you have looked at the clouds and imagined a sailboat, a seahorse, or even your great-aunt Rosemary staring back at you.
Scientists call this tendency to find meaningful patterns in randomness "apophenia." But in some cases, those patterns are very real. Cold Spring Harbor Laboratory Associate Professor Saket Navlakha studies the hidden structures that appear throughout nature.
One of the best known examples of organized patterning is the Voronoi diagram, a geometric system that divides space into separate regions around central points. A simple example would be school districts. Each district (region) is arranged so students are always closest to the school (central point) assigned to them.
Left: The round, flat leaf of Pilea Peperomioides, the Chinese money plant. Right: A computer model of a Voronoi diagram traces the leaf’s central hydathode pores and looping reticulate veins.
The Chinese money plant is a perennial species native to China's Yunnan and Sichuan provinces. It is also a popular houseplant often given as a gift. Its circular leaves contain noticeable pores called hydathodes, which are surrounded by looping vein networks that move water and nutrients through the leaf.
After carefully mapping the pores and veins, Navlakha and Zheng found that the leaf structure naturally forms a Voronoi pattern.
To better understand how the pattern develops, the researchers partnered with Przemysław Prusinkiewicz, a scientist internationally recognized for his work on plant vein formation. Together, they identified the "natural algorithm" responsible for creating the looping veins around the pores in the leaves.
"Just as humans have to solve problems to survive, the same goes for other organisms," says Zheng, now a postdoc at the Allen Institute. "But unlike humans, plants cannot explicitly measure distances. Instead, they rely on local biological interactions to achieve the same Voronoi solution."
Published 14th May by Cold Spring Harbor Laboratory – Science Daily
https://www.sciencedaily.com/release...0513221754.htm
Bookmarks