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rep-tile
Sign in to savethumb|200px|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. In 2012 a generalization of rep-tiles called self-tiling tile sets was introduced by Lee Sallows in Mathematics Magazine.
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~11 min read
Article
22 sectionsContents
- Terminology
- Examples
- Rep-tiles and symmetry
- Rep-tiles and polyforms
- Squares
- Equilateral triangles
- Right triangles
- 45°-90°-45° triangles
- 30°-60°-90° triangles
- Multiple and variant rep-tilings
- Rep-tiles with infinite sides
- Pentagonal rep-tiles
- Rep-tiles and fractals
- Rep-tiles as fractals
- Fractals as rep-tiles
- Infinite tiling
- See also
- Notes
- References
- External links
- Rep-tiles
- Irrep-tiles
thumb|200px|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. In 2012 a generalization of rep-tiles called self-tiling tile sets was introduced by Lee Sallows in Mathematics Magazine.
thumb|400px|right|A selection of rep-tiles, including the sphinx tiling|sphinx, two fish and the 5-triangle