Geometry Matters

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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…

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…

Hologram of a single photon

In 2016, scientists from the University of Warsaw created the first-ever hologram of a single…

A patterned fingerprint of the brain

Studying multiple neural networks, researchers from EPFL Switzerland found that every one of us has…

Geometric models for memories

By creating a computer program that turns sequences of events from a video into unique…

Pure geometry and geometric cognition

Pure geometry’s cognitive foundation is mostly unknown. Even the ‘simpler’ question of what kind of…

How quantifying the shape of stories predicts their success

Narratives, and other types of speech, can be used to enlighten, entertain, and make sense…

The human quest for discovering mathematical beauty in the arts

“The human function is to ‘discover or observe’ mathematics,” said twentieth-century British mathematician G. H.…