When Alfred University Associate Math Professor Amanda Lipnicki took up knitting as an undergraduate student, she didnt immediately recognize how mathematics and geometry underlay the patterns of ...

A new theory proposes that the universe’s fundamental forces and particle properties may arise from the geometry of hidden extra dimensions. These dimensions could twist and evolve over time, forming ...

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

A hidden quantum geometry that distorts electron paths has finally been observed in real materials. This “quantum metric,” once thought purely theoretical, may revolutionize electronics, ...

The portly, balding sculptor-turned-architect must have drawn a few curious gazes as he set up a complicated painting apparatus in the corner of a Renaissance-era piazza. He planted his instrument, ...

A new paper gives fellow quantum physicists a tool to help explore the geometry of the universe. They say one qubit’s behavior, regardless of its starting position, forms a predictable geometric idea.

THIS text-book should evoke in the student a realization of the infinite possibilities opened up by the many geometries included in the general scheme in which the classical geometry of his curriculum ...

Susanna Heikkilä uses a knitted chessboard pattern and crocheted balls to illustrate the idea of quasiregular mappings, or how the plane curves to cover the form. Susanna Heikkilä solved a problem in ...

A year ago AlphaGeometry, an artificial-intelligence (AI) problem solver created by Google DeepMind, surprised the world by performing at the level of silver medallists in the International ...