Can you drill a hole in a cube that an identical cube could fall through? Prince Rupert of the Rhine first asked this question in the 17th century, and he soon found out the answer is yes. One can ...

After more than three centuries, a geometry problem that originated with a royal bet has been solved. Imagine you’re holding two equal-size dice. Is it possible to bore a tunnel through one die that’s ...

Taking the minkowski sum where an operand is concave causes a significant performance regression in Manifold mode. We implement minkowski by first decomposing operands into convex operands, then ...

AI is changing the world...but is that a good thing? From rogue robots to biased algorithms, the future of AI is looking a little sketchy. Luckily, Polyhedra is here to change things with its zkML ...

There are two equivalent forms to represent a polyhedron P in ℜ n: as the intersection of m closed half-spaces or as the convex hull of its vertices added to the conic hull of its extreme rays. The ...

PNAS is the world's most-cited multidisciplinary scientific serial. It publishes high-impact research reports, commentaries, perspectives, reviews, colloquium papers, and actions of the Academy. In ...

This media is in the public domain (free of copyright restrictions). You can copy, modify, and distribute this work without contacting the Smithsonian. For more information, visit the Smithsonian's ...

Polyhedra, a crypto protocol whose company reached unicorn status last year, is promising a buyback plan and additional steps to rebuild trust in the crypto community, days after its token fell more ...

Polyhedra Network (ZKJ) plunged 83% on Sunday after a series of “abnormal on-chain transactions” involving the ZKJ/KOGE (KOGE) trading pair — a collapse Binance said was triggered by a sudden ...

Artificial intelligence systems are racing ahead, but the two questions still keep builders up at night: “Can the outputs be trusted, and is the underlying data really private?” The same tension is ...