Perfect for beginners, this guide will help you to master essential Blender skills while crafting a fun, tasty-looking 3D ...

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

Sacred geometry appears all throughout nature. The arrangement of leaves on a stem, the spiral patterns of pinecones, the ...

Following recent MOU for a 70-MW demand response partnership, Torus technology is now certified for commercial deployments from 30 kW to 1.2 MW SOUTH SALT LAKE, Utah, March 19, 2025--(BUSINESS ...

Main purpose of the GeometRi library is manipulations with basic geometrical primitives, such as point, line, plane, sphere, triangle in 3D space: translation and rotation operations, distance ...

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 ...

based on ideas from algebraic geometry. In this hyperbolic band theory, eigenstates are automorphic functions, and the Brillouin zone is a higher-dimensional torus, the Jacobian of the compactified ...

[Abstract] [arXiv] [Journal] We study quantitative equidistribution in law of affine random walks on nilmanifolds, motivated by a result of Bourgain, Furman, Mozes and the third named author on the ...