Geometric shapes such as pentagons and hexagons spontaneously form in a wide range of geologic settings. Dried mud, ice and rock often crack into polygons, but these patterns tend to vary ...

Swirling patterns and flower forms create a flowing organic background. The image is given structure by a contrasting geometric line – the white outline of a circle in the background. Image caption, ...

The Islamic designs echo quasicrystalline geometry in that both use symmetrical polygonal shapes to create patterns that can be extended indefinitely without repetition. Until now, the conventional ...

Geometric analysis of nonlocal interactions and phase patterns investigates the mathematical and physical principles underlying systems in which influences extend beyond immediate contact.