During this work, Schein came across the work of 20th century mathematician Michael Goldberg, who described a set of new shapes that have been named the Goldberg polyhedra.

Kepler's conjecture gives the densest possible packing for spherical particles but, until now, there has not been an analogous system for determining dense polyhedral packings. Using a variety of ...

The new shapes don’t fit into any of these categories. “This is the first new class of convex, equilateral polyhedra with icosahedral symmetry in 400 years,” says UCLA neuroscientist Stan ...

Schein and Gayed's new class of 3D shapes joins an exclusive nerdy club known as "equilateral convex polyhedra with polyhedral symmetry." The ancient Greeks came up with the first class of these ...

The early-17th-century astronomer Johannes Kepler defined the basic rules governing planetary motion. The basis for everything we understand about the orbits of the planets comes from the work of ...