Do you think there’s a triangle whose angles measure 41, 76 and 63 degrees? At first, answering this may seem easy. From geometry class we know that the sum of the measures of the interior angles of a ...

A group of MIT undergraduates is searching for tetrahedra that tile space, the latest effort in a millennia-long inquiry. They’ve already made a new discovery. What Aristotle started over 2,000 years ...

The packing of shapes has drawn the attention of humankind since ancient times. A Sanskrit work from 499 ad reveals the first-known mathematical study of the face-centred cubic arrangement of spheres ...

Tetrahedra can be packed into highly dense phases that exhibit quasicrystalline order, according to a theoretical study by scientists at the University of Michigan, Ann Arbor, and their coworkers ...

The tetrahedron is the simplest of all polyhedra. Any four points in space that are not all on the same plane mark the corners of four triangles. The triangles in turn are the faces of a tetrahedron.

Two researchers have made a major advance in addressing a twist in the packing problem, jamming more tetrahedra -- solid figures with four triangular faces -- and other polyhedral solid objects than ...