Tetrahedra do not tile Euclidean space. However, if extra space is allowed between tetrahedra, or between groups of tetrahedra, dense ordered structures become possible. Imagine building a dense ...

Among these defects, stacking fault tetrahedra (SFT), bounded by stacking faults (SFs) and stair-rod dislocations, are peculiar types of volume defect typically found in face-centred cubic (FCC ...

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 ...

"You know you can fill space with cubes," Torquato said, "We were looking for another way." In the article "New Family of Tilings of Three-Dimensional Euclidean Space by Tetrahedra and Octahedra," he ...

Tetrahedra lack a quality known as central symmetry. To possess this quality, an object must have a center that will bisect any line drawn to connect any two points on separate planes on its surface.

They found evidence of a critical point based on the cooperative formation of tetrahedra, and show its minor role in water's anomalies. This work shows that water's special qualities--which are ...

The first way to think of the spinel structure is the array of Al atoms. They sit on the corners of tetrahedra which share corners infinitely in 3 dimmensions, an array known as a Kagome net. The ...

The stainless-steel Tetrahedra and the controversial Otto Hajek sculptures in the Festival Plaza face uncertainty as the area is planned for a radical transformation into a new-look Festival ...

It seems that tetrahedra, with their four triangular faces, are the most efficient shape for filling a container randomly, as opposed to carefully stacking objects within it. Graduate student ...