To illustrate the Pythagorean Theorem, makers of geometric models have long made models with pieces that could be arranged either as a square with a side equal to the length of the hypotenuse of a ...

Around 1900, mathematicians across the world acquired physical models, both to illustrate concepts they taught and to demonstrate their familiarity with new ideas. They frequently purchased models ...

A new study from the University at Albany shows that artificial intelligence systems may organize information in far more ...

Modern physics relies on "Dark Energy," "Dark Matter," and over 20 arbitrary tuning parameters to explain the universe. A comprehensive AI-driven audit performed by Gemini Pro on 20 technical papers ...

Geometric objects take on different properties depending on the space in which you visualize them. Using techniques from an upstart field called tropical geometry — which analyzes complicated shapes ...

THE models are six in number. They are intended to show a line (1) by its projections, (2) by its traces; the inclination of an oblique plane (3) to the vertical plane, (4) to the horizontal plane; ...

The study of differential algebraic geometry and model theory occupies a pivotal position at the interface of algebra, geometry, and logic. Differential algebraic geometry investigates solution sets ...

The expansion of 3D content across games, digital media, education, and product design has exposed a long-standing challenge: ...