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 ...

Scientists have used computer simulations and a two-state mathematical model to analyze previous data on water and predicted the location of a liquid-liquid critical point in supercooled water. This ...

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 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.

Plastic deformation in metals and alloys is governed by the generation and evolution of defects of point, line, plane and volume types 1,2. Among these defects, stacking fault tetrahedra (SFT), ...

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 ...

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 ...

Neutron, proton or heavy ion irradiation can create a large amount of defect clusters, including bubbles, voids and dislocation loops in irradiated metallic materials. Consequently, radiation may lead ...

IIIF provides researchers rich metadata and media viewing options for comparison of works across cultural heritage collections. Visit the IIIF page to learn more. This cut, folded and glued tan paper ...

Tokyo, Japan - Researchers at the Institute of Industrial Science at The University of Tokyo sifted through experimental data to probe the possibility that supercooled water has a liquid-to-liquid ...