You may have seen the “no-lift pencil” puzzles online — challenges that ask you to draw a shape without lifting your pencil ...

Crows can recognize geometric patterns, suggesting that humans aren't unique in understanding shape structure.

Development of ShotgunCSP: a crystal structure prediction algorithm combining machine learning and first-principles calculations.Achieved world-leading performance in crystal structure prediction ...

Scientists tested crows on their ability to recognize “geometric regularity,” a skill previously assumed to be unique to ...

Other critters might have an inherent sense of geometry, too, says Nieder, but until now ... or irregular quadrilaterals. The ...

and he greatly extended the scope of the mathematical theory of symmetry known as representation theory. “He is a master in combining tools from geometry, algebra and analysis to obtain new ...

Masaki Kashiwara received the honor, often regarded as the Nobel Prize in mathematics ... How many cranes and turtles are there?” (For example, for 21 heads and 54 legs, the answer is 15 ...

In this theorem, or first theorem, she stated in 1915 "that every differentiable symmetry of the action of a physical ... Without Noether’s work, the current algebraic geometry branch wouldn’t be what ...