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...

aperiodic tilings. One class that can be generated in this way is the rep-tiles; these tilings have unexpected self-replicating properties. Pinwheel tilings are...

is, they are rep-tiles. Continuing this dissection recursively leads to a tiling of the plane, which in many cases is an aperiodic tiling. In this context...

coined the term rep-tiles for self-replicating tilings. In 2012, Lee Sallows identified rep-tiles as a special instance of a self-tiling tile set or setiset...

frequent. Several polyominoes can tile larger copies of themselves, and repeating this process recursively gives a rep-tile tiling of the plane. For instance...

non-periodic tiling of the plane. The sphinx is therefore a rep-tile (a self-replicating tessellation). It is one of few known pentagonal rep-tiles and is the...

composed of n identical pieces is the same thing as a 'self-replicating tile' or rep-tile, of which setisets are therefore a generalization. Setisets using...

types of tiling are possible. An example is the sphinx tiling, an aperiodic tiling formed by a pentagonal rep-tile. The sphinx may also tile the plane...

is rep-tiled into pieces each scaled down by a scale-factor of 1/r, there are a total of rn pieces. Now, consider the Koch curve. It can be rep-tiled into...

triangle, is another example of a teragon. It is also an example of a rep-tile, or shape that can be completely dissected into smaller copies of itself...

chair tiling (or L tiling) is a nonperiodic substitution tiling created from L-tromino prototiles. These prototiles are examples of rep-tiles and so...

surrounding one larger copy at the center. Hence, it is an irrep-7 irrep-tile (see Rep-tile for discussion). The Hausdorff dimension of the Koch curve is d =...

polyhexes Rep-tile – tilings of shapes that are made of smaller copies of themselves Wolfram Mathworld: Polyhex Glenn C. Rhoads, Planar tilings by polyominoes...

Roof tiles are overlapping tiles designed mainly to keep out precipitation such as rain or snow, and are traditionally made from locally available materials...

Polyominoes (Nov 1960) The Paradox of the unexpected hanging (Mar 1963) Rep-tiles (May 1963) The Superellipse (Sep 1965) Pentominoes (Oct 1965) The mathematical...

a fictional character in the Marvel Comics universe Rep-tile, a term for self-replicating tilings. Reptilian (disambiguation) All pages with titles beginning...

and curves of constant width Tessellations, polygon triangulations, and rep-tiles Similar figures and spirals The mathematics of the yin and yang symbol...

American. In 2012 Sallows invented and named self-tiling tile sets—a new generalization of rep-tiles. In 2014 Sallows discovered a previously unnoticed...

conferences. Among his contributions to recreational mathematics are Rep-tiles. He also contributed a puzzle to each issue of the Johns Hopkins Magazine...

Archived 21 September 2002 at archive.today Fractal dimension of a Penrose tiling Shishikura, Mitsuhiro (1991). "The Hausdorff dimension of the boundary of...

(2014), "Chapter 18: Curves of Constant Width", Knots and Borromean Rings, Rep-Tiles, and Eight Queens, The New Martin Gardner Mathematical Library, vol. 4...

mah-JONG; also transliterated as mah jongg, mah-jongg, and mahjongg) is a tile-based game that was developed in the 19th century in China and has spread...

hanged 1963 Apr A bit of foolishness for April Fools' Day 1963 May On rep-tiles, polygons that can make larger and smaller copies of themselves 1963 Jun...

buildings that contain stucco exteriors, arched doors and windows, and red tiled roofs. The indigenous peoples of the Dominican Republic have also had a...

feathers in their work on Happy Feet (2006), into new software called RepTile to animate dinosaur skin and scales. It also added feathers for some dinosaurs...

Yeganeh, Hamid 1990– Fine art Exploration of tessellations (resembling rep-tiles) Pacioli, Luca 1447–1517 Fine art Polyhedra (e.g. rhombicuboctahedron)...

a girlfriend back on Reptilon named Apatty Saurus, and was a "rep" for a ceramic tile shop before he became a Dinosaucer. Bronto Thunder's name is an...

Press; ISBN 0-671-20073-9. Reprinted in 2014 as Knots and Borromean Rings, Rep-Tiles, and Eight Queens: Martin Gardner's Unexpected Hanging, (Series: The New...

unranked honor tiles (字牌, jihai). Honor tiles are further divided between wind tiles and dragon tiles. Some rules may have red number five tiles which work...

fiberglass Safety glass Ceramics Brick Earthenware Porcelain Refractory Tile Cement Mortar Plaster Ready-mix concrete Other mineral Abrasives Carbon fibers...