The work of numerous mathematicians culminated in the discovery of hyperbolic geometry; today, thanks to virtual reality, it is possible to glimpse it beyond its formulas ...

Atoms in molecules occupy fixed positions, connected by rigid rods. A molecule such as formic acid (methanoic acid, HCOOH) is ...

The shape of the cosmos depends on a balance of two competing forces: the pull of gravity and the expansion driven by dark ...

A marriage of formal methods and LLMs seeks to harness the strengths of both.

Most geometric logos are technically flawed. This guide audits 25 world-class examples, debunking the "perfect grid" myth and providing a framework for creating scalable, mathematically sound brand ...

When Alfred University Math Professor Amanda Lipnicki took up knitting as an undergraduate student, she didn’t immediately recognize how mathematics and geometry underlay the patterns of stitches ...

Neste artigo, apresenta-se a evolução das ideias sobre a quarta dimensão espacial, partindo daquelas que surgem da geometria euclidiana clássica e abordando, em seguida, as que resultam do âmbito das ...

In their work, mathematicians focus on thinking. Susanna Heikkilä’s preferred way of working is to hatch ideas with pen and paper. When working with others, a blackboard is a must. Credit: ...

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 form. Susanna Heikkilä solved a problem in ...

Susanna Heikkilä solved a problem in topology, or mathematics pertaining to the shape of surfaces. The fact that one of the articles included in her doctoral thesis has been published in the highly ...

Euclidean geometry is the branch of mathematics describing shapes and the spatial relationships between objects in two-dimensional (2D) and three-dimensional (3D) settings. The rules of Euclidean ...