John Conway’s Game of Life, a famous cellular automaton, has been found to have periodic patterns of every possible length. In 1969, the British mathematician John Conway devised a beguilingly simple ...

They show considerable potential in many applications, including vibration insulation, wave-guiding, noise control, and energy harvesting technologies. While the foundation of metamaterials research ...

A mixture of two types of pigment-producing cells undergoes diffusiophoretic transport to self-assemble into a hexagonal pattern. Credit: Siamak Mirfendereski and Ankur Gupta/CU Boulder A zebra’s ...

Moiré materials are a class of 2D nanomaterials that exhibit unique properties arising from the periodic interference patterns formed when two or more atomically thin layers are stacked with a slight ...

A 13-sided shape known as “the hat” has mathematicians tipping their caps. It’s the first true example of an “einstein,” a single shape that forms a special tiling of a plane: Like bathroom floor tile ...