Zooming out, the team argues, you could classify most real fractured-rock mosaics using just Platonic rectangles, 2D Voronoi patterns, and then—overwhelmingly—Platonic cubes in three dimensions.

The most famous packing problem concerns spheres. In 1611, the astronomer Johannes Kepler proposed that the densest way to ...

More importantly, Domokos now had a framework. Mathematics offered a way to classify all the patterns that surfaces and blocks could break into. Geometry also predicted that if you fragmented a flat ...

The researchers' work involves "tiling," also known as "tessellation" after the Latin word "tessella," meaning a small cube or tile. Just as someone tiling a floor repeats a geometric pattern to fill ...

KS3 Maths Patterns and sequences learning resources for adults, children, ... Learn about how a geometric sequence is formed by multiplying or dividing by a constant, ...