A mathematical problem solved by Susanna Heikkilä relates to the classification of quasiregularly elliptic 4-manifolds, ...

Researchers have solved a long-standing problem in topology by helping classify four-dimensional shapes (4-manifolds) that ...

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 ... obtained by deforming four-dimensional ...

Professors from NYU and the University of British Columbia have resolved the Kakeya set conjecture in three dimensions.

"The latest work follows years of progress that has enhanced our understanding of a complicated geometry and brings ... of the interaction of tubes in Euclidean—three-dimensional—space.

or spaces that look like 3D Euclidean space when you zoom in but that have more structure when you zoom out. An analogy would be how a sphere looks like a plane when you zoom in, but when you zoom ...

The Kakeya conjecture was inspired by a problem asked in 1917 by Japanese mathematician Sōichi Kakeya: What is the region of smallest possible area in which it is possible to rotate a needle 180 ...

The methodology integrates K-nearest neighbor (KNN) search and random sample consensus (RANSAC) algorithms to compute normal vectors, followed by mean shift clustering for preliminary grouping and ...

A single-engine plane crashed in a residential area of Brooklyn Park, Minnesota, on Saturday afternoon. The plane took off from Des Moines International Airport and was headed to an airport north ...