Tiling

By translating Keller’s conjecture into a computer-friendly search for a type of graph, researchers have finally resolved a problem about covering spaces with tiles.

Triangles fit effortlessly together, as do squares. When it comes to pentagons, what gives?

A California housewife who in the 1970s discovered four new types of tessellating pentagons is dead at 94.

A French mathematician has completed the classification of all convex pentagons, and therefore all convex polygons, that tile the plane.

A new collection of arresting wallpaper designs seems to defy the crystallographic restriction.