One of differential geometry’s most challenging problems has finally been solved after 150 years, with a closed surface Bonnet pair.

Scientists are describing laws that govern the development of certain complex natural patterns, such as those found on the surface of cauliflower. Scientists at the Universidad Carlos III of Madrid ...

Beauville surfaces, celebrated for their rich interplay between algebraic geometry and group theory, represent a striking class of complex algebraic surfaces constructed as quotients of products of ...

IIIF provides researchers rich metadata and media viewing options for comparison of works across cultural heritage collections. Visit the IIIF page to learn more. Students at the technical high school ...

The commands GEOMETRY surface_name /EDIT and GEOMETRY /PICK-S /EDIT will cause up to 80 characters from the definition of the specified or picked surface to be loaded into the input buffer for in-line ...

A 150-year-old geometry rule has been overturned after mathematicians found two different torus surfaces with identical ...

Your mother always told you to do your geometry homework, and for scientists seeking new treatments for diseases like Parkinson's and Alzheimer's, this advice turns out to be right on the mark. Your ...

A massive feature on the moon formed due to lunar rifts, in a surprise revision to earlier theories, research shows. Previously, scientists thought the moon's Ocean of Storms was a round crater left ...

Surfaces that can be represented by equations of degree two—spheres, ellipsoids, paraboloids, hyperboloids, and cones—have long been discussed in courses on descriptive and solid geometry, ...