Can a shape pass through itself? That is to say, if one had two identical solids, would it be possible to orient one such that a hole could be cut through it, allowing the other to pass through ...

Human thought is a continuous circle, yet AI is its projected sine wave shadow. They meet in a narrow "corridor" of ...

Taking lessons outside can help elementary students feel more connected to and excited about the content they’re learning.

In this episode, we take a deeper look at whether education research can ever truly be neutral and what happens when ideology ...

Particles as different as soap bubbles and ball bearings can be made to arrange themselves in exactly the same way, according ...

When elementary students experience math through multiple modes, they begin to see it as a language of design, rhythm, and ...

Topology has real implications in the world. For example, topological techniques can be brought to bear on calculating the trajectories of spacecraft, and missions have been saved by the efforts of ...

The human eye is drawn to the rhythmic beauty of tiled patterns, which occur abundantly in nature. A database, collecting and classifying tile-like patterns in biology, aims to be a resource and ...

Mathematicians have discovered a pattern known as the einstein tile — a single shape that can cover an infinite plane without ...

Researchers developed a method to pattern gold nanoparticles with atomic precision, creating patchy particles with new shapes and functions for advanced technologies. (Nanowerk News) Inspired by an ...

Inspired by an artist's stencils, researchers have developed atomic-level precision patterning on nanoparticle surfaces, allowing them to "paint" gold nanoparticles with polymers to give them an array ...