page_title: Rep-tile
section_title: 30°-60°-90° triangles
hierarchical_section_title: Rep-tile / Rep-tiles and polyforms / Right triangles / 30°-60°-90° triangles
caption_attribution_description: English: A rep-tile tetradrafter, or shape created from four 30-60-90&#176; triangles that can be divided into smaller copies of itself.
context_page_description: 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. In 2012 a generalization of rep-tiles called self-tiling tile sets was introduced by Lee Sallows in Mathematics Magazine.
context_section_description: Polyforms based on 30°-60°-90° right triangles, with sides in the ratio 1 : √3 : 2, are known as polydrafters. Some are identical to polyminoes and polyiamonds, others are distinct.
caption: The tetradrafter as a reptile.