Geometry Matters

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Circular cities benefit from more rainfall

After noticing that weather data from roughly circular cities like Dallas and London often show…

Decoding the Mathematical Secrets of Plants’ Spiraling Leaf Patterns

Plant leaves are arranged in a beautiful geometric pattern around the stem, which is known…

A geometric model for cognition: the Fundamental Code Unit of the Brain

The multidisciplinary nature of cognitive research brings the need to conceptually unify insights from multiple…

The geometry of individual and collective decision-making

A team of researchers used state-of-the-art virtual reality to show the fundamental geometrical principles that…

Peculiar patterns of vibrating floating particles

In 2020, Héctor Alarcón, at O’Higgins University, Chile, and his colleagues started studying the forces…

The fractal-hyperbolic geometry of networks

Network geometry helps us better understand complex systems at all sizes of organizations, as well…

The manifold framework of neural circuits

Manifold: a topological space that locally resembles a Euclidean space in mathematics. Perceptual manifold: the…

Geometrical concepts, cognition, and educational implications

A group of researchers from Italy and the United Kingdom analyzed the development of geometrical…

The geometry of atomic bonds

In 2012, a team from IBM’s research labs in Zurich managed to reveal the individual…

Patterns of innovation

The process of innovation is a mystery. Historically it has offered opportunities and challenges, as…