A tessellation (or tiling) is a covering of a surface with tiles so that there are no gaps or overlaps. The tile shapes can be all different, as in the chips used to produce a complex Byzantine mosaic, or they may consist of a limited number of shapes,...

Generally, a tesselation (sometimes called a tiling or mosaic) is a division of space into pieces with finite area (or volume) called tiles. Tesselations and patterns have been in art for at least two thousand years. Ancient artifacts decorated with...

For centuries, mathematicians and artists alike have been fascinated by tessellations, also called tilings. Tessellations of a plane can be found in the regular patterns of tiles in a bathroom floor, or flagstones in a patio. They are also widely used...

The Dutch artist Maurits Cornelius Escher was, more than anyone else, responsible for bringing the art of tessellations to the public eye. True, tessellations have been used for decorative purposes for centuries, but the cells were usually very bland:...

A tessellation or tiling of the plane is a collection of plane figures that fills the plane with no overlaps and no gaps. One may also speak of tessellations of the parts of the plane or of other surfaces. Generalizations to higher dimensions are also...