Examples for

# Tilings

A tiling is a plane-filling arrangement of one or more plane figures, called tiles, that has no overlaps and no gaps. When the tiles are in the shape of polygons, it is often called a tessellation. Tilings with a repeating pattern are called periodic, and nonrepeating ones are aperiodic (also called nonperiodic). Wolfram|Alpha can compute many properties, including the filling image for a tiling, and can generate a filling image given a number of substitution steps for an aperiodic tiling.

### Periodic Tilings

Find common periodic tilings, including regular tessellations (which have one regular polygon as tiles) and semiregular tessellations (which have two or more regular polygons).

#### Get information about a periodic plane tiling:

### Nonperiodic Tilings

Find the filling image of a nonperiodic tiling by specifying the number of substitution steps or get an image generator if it's not specified.