A student playing around with fluids and magnetic materials in the lab may have accidentally found an "exception" to the laws of thermodynamics, according to the authors of a new paper based on his ...

Two mathematicians now say they’ve made progress on a very old unsolved math problem. The problem involves a subfield called ...

Researchers have found special atomic patterns called quasicrystals in 3D-printed aluminum alloys. Quasicrystals increase the strength of 3D-printed aluminum, the researchers discovered, making it ...

The Kakeya set—named for its discoverer Sōichi Kakeya—was complicated by a subsequent mathematician named Abram Samoilovitch ...

A new proof solves the “Kakeya conjecture” in three dimensions, opening up a new set of possibilities for mathematics, from computer science to cryptography ...

A mathematical problem solved by Susanna Heikkilä relates to the classification of quasiregularly elliptic 4-manifolds, asking what four-dimensional shapes can be obtained by deforming four ...

Mathematicians from New York University and the University of British Columbia have resolved a decades-old geometric problem, the Kakeya conjecture in 3D, which studies the shape left behind by a ...

It details the formulas used to calculate their volumes, emphasizing the relationships between these shapes. For example, the volume of a pyramid is one-third that of a prism with the same base ...

Chinese mathematician Wang Hong has solved an “infamous” geometry problem called the Kakeya conjecture within three dimensions. It is considered a breakthrough that could have implications for ...