Rep-tile

The "sphinx" polyiamond rep-tile. Four copies of the sphinx can be put together as shown to make a larger sphinx.

In the geometry of tessellations, a rep-tile or reptile is a shape that can be dissected into smaller copies of the same shape. The term was coined as a pun on animal reptiles by recreational mathematician Solomon W. Golomb and popularized by Martin Gardner in his "Mathematical Games" column in the May 1963 issue of Scientific American.[1] In 2012 a generalization of rep-tiles called self-tiling tile sets was introduced by Lee Sallows in Mathematics Magazine.[2]

A selection of rep-tiles, including the sphinx, two fish and the 5-triangle