Three mathematicians just proved a famous 30-year-old conjecture in geometry, with only a tiny assist from AI. The conjecture says that even within enormous, scattered and chaotic assemblages of ...

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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 ...

THE new edition of this valuable work differs so widely from the older ones, with many changes and additions, and more than twice the original number of examples, that it is almost a new book.

Having spent a lot of time pondering the octonionic projective plane and its possible role in the Standard Model of particle physics, I’m now getting interested in the ‘bioctonionic plane’, which is ...

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, ...

Irish neo-soul six-piece Projective have released their new single, Pocket. We asked the band's trumpeter - and one of their three vocalists - Diamond Nzekwe the BIG questions . . . Projective are ...

The original version of this story appeared in Quanta Magazine. In the fall of 2022, a Princeton University graduate student named Carolina Figueiredo stumbled onto a massive coincidence. She ...

Projective geometry is a prominent area in many fields including art, design, architecture, and mathematics, but how it can contribute to children’s spatial reasoning as well as a supplementary ...

Scapegoating is a common yet widely unacknowledged reality in family systems dominated by narcissistic parents. A scapegoated child is targeted with negative projections from one or both parents, ...

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