rep-n. Infinite tiling Among regular polygons, only the triangle and square can be dissected into smaller equally sized copies of themselves. However, a regular hexagon can be dissected into six equilateral triangles, each of which can be dissected into a regular hexagon and three more equilateral triangles. This is the basis for an infinite tiling of the hexagon with hexagons. The hexagon is therefore an irrep-∞ or irrep-infinity irreptile. See also Mosaic Self-replication Self-tiling tile set Reptiles (M. C. Escher) Notes References External links Rep-tiles Mathematics Centre Sphinx Album: http://mathematicscentre.com/taskcentre/sphinx.htm Clarke, A. L. "Reptiles." http://www.recmath.com/PolyPages/PolyPages/Reptiles.htm. http://www.uwgb.edu/dutchs/symmetry/reptile1.htm (1999) IFStile - program for finding rep-tiles: https://ifstile.com Irrep-tiles Math Magic - Problem of the Month 10/2002 Tanya Khovanova - L-Irreptiles Tessellation Fractals