Bird Brain? Crows Crack Complex Geometry Puzzles
Scientists have discovered that crows possess an innate understanding of geometry that rivals human intuition, challenging long-held assumptions about mathematical cognition in the animal kingdom. In research published Friday in Science Advances, crows demonstrated the ability to distinguish between geometric shapes based on subtle variations in symmetry, angles, and parallelism—skills previously thought to be largely limited to humans.
The study, led by Andreas Nieder of the University of Tübingen in Germany, found that crows can spontaneously identify geometric irregularities without specific training for each new shape presented. When shown a slightly asymmetrical quadrilateral among perfect squares, the birds immediately recognized the outlier, according to Scientific American.
“They really could do this spontaneously,” Nieder explained. “Discriminate the outlier shapes based on the geometric differences without us needing them to train them additionally.” This ability persisted even when researchers stopped offering rewards, suggesting an intrinsic understanding of geometric principles rather than behavior motivated solely by treats.

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From Video Games to Breakthrough Science
Researchers designed what amounted to a crow-friendly video game to test the birds’ geometric intelligence. Crows perched before digital screens displaying various shapes and were initially rewarded for pecking at specific patterns. As they mastered simple discriminations, the researchers gradually increased the complexity of the visual challenges.
The birds were first trained to identify obvious outliers—such as a star shape among moon shapes—but the scientists then introduced more subtle geometric variations. The crows consistently identified quadrilaterals with slight asymmetries or angular irregularities among collections of perfect geometric forms, performing at levels that surprised even the researchers.
“The general view among scientists was that proper geometrical, Euclidean knowledge as applied to objects was probably limited to humans,” noted Giorgio Vallortigara, a neuroscientist at the University of Trento who was not involved in the study. Nieder’s work “is challenging this view—because the crows show a sort of intuitive, strictly perceptual recognition of geometric properties.”
Crows are beautiful gifts of geometry from the Universe. pic.twitter.com/GVIOfDmxHP
— Zero State Reflex (@ZeroStateReflex) October 30, 2024
Parallel Evolution of Intelligence
What makes these findings particularly fascinating is that birds achieve this geometric intelligence with brain structures fundamentally different from our own. While humans process complex information through our cerebral cortex, birds lack this brain structure entirely, instead using simpler arrangements of independent neurons to accomplish similar cognitive feats.
“These animals are terribly intelligent—so, obviously, evolution found two different ways of giving rise to behaviorally flexible animals,” observed Nieder. This evolutionary convergence suggests certain forms of intelligence are so advantageous that they emerge repeatedly through different biological pathways.
The discovery adds to a growing catalog of impressive corvid cognitive abilities. Earlier research has shown that hooded crows can create “mental templates”—mental images they can recall and reproduce later—a cognitive ability once considered exclusively human, as reported by Voice of Alexandria.
Crows are excellent problem solvers, and scientists claim their intelligence is like that of a seven-year-old humans pic.twitter.com/6nLWdwMHjX
— Nature is Amazing ☘️ (@AMAZlNGNATURE) April 6, 2025
Beyond Simple Pattern Recognition
While many animals can distinguish differences in size or basic shape, recognizing properties like the number of sides or the measure of inner angles represents a significantly more sophisticated form of cognition. This level of geometric understanding goes far beyond the basic pattern recognition capabilities observed in most non-human species.
“Almost all animals do recognize differences in length or area of surfaces to some extent,” explained Vallortigara. “But it requires even more cognitive sophistication to identify that, for instance, squares and triangles have different numbers of sides or different inner-angle sizes on flat, two-dimensional surfaces.”
The level of geometric understanding demonstrated by crows in this study suggests they possess what mathematicians might call “Euclidean knowledge”—an intuitive grasp of properties like parallelism, symmetry, and angular relationships that form the foundation of classical geometry.
Evolutionary Advantages of Mathematical Minds
Why would crows evolve such sophisticated geometric cognition? Researchers propose several evolutionary advantages. “I suspect that the origin and the drive for the development of these abilities mainly has to do with spatial orientation,” suggested Vallortigara. The ability to recognize geometric patterns likely helps crows navigate complex environments and remember important locations.
Geometric intelligence might also serve important social functions. Just as humans use the geometric arrangement of facial features to distinguish individuals, crows might apply similar principles to recognize specific birds within their social groups—a valuable skill for species with complex social structures.
“All these capabilities, at the end of the day, from a biological point of view, have evolved because they provide a survival advantage or a reproductive advantage,” explained Nieder. Given these evolutionary pressures, both Nieder and Vallortigara suspect similar abilities might exist in other bird species or even more distantly related animals.

Reimagining Animal Intelligence
The findings challenge us to reconsider what constitutes “intelligence” across species lines. Traditionally, human cognition has been the benchmark against which animal intelligence is measured—yet corvids have repeatedly demonstrated sophisticated cognitive abilities through entirely different neural architectures.
“Crows deserve more love and charity,” Nieder argued. “They not only can be incredibly cute, cuddly and social but also are extremely smart.” The research suggests that intelligence has evolved along multiple pathways, and that seemingly complex cognitive abilities may be more widespread than scientists once believed.
Nieder hopes future research will identify which specific neural structures enable this geometric intelligence in crows. “It is very important that we can work with animals and also can explore these animals. We learn a lot about their brains but also about our brains because we have such fundamental skills that we share with them.”
As our understanding of animal cognition expands, the traditional boundaries between human and animal intelligence continue to blur, revealing unexpected cognitive sophistication in creatures we have long underestimated—particularly these remarkable black birds that have been unfairly maligned in myth and culture.
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