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2. Pythagorean tiling - Wikipedia

   en.wikipedia.org/wiki/Pythagorean_tiling

   A Pythagorean tiling Street Musicians at the Door, Jacob Ochtervelt, 1665.As observed by Nelsen the floor tiles in this painting are set in the Pythagorean tiling. A Pythagorean tiling or two squares tessellation is a tiling of a Euclidean plane by squares of two different sizes, in which each square touches four squares of the other size on its four sides.

3. Penrose tiling - Wikipedia

   en.wikipedia.org/wiki/Penrose_tiling

   Penrose tiling. A Penrose tiling is an example of an aperiodic tiling. Here, a tiling is a covering of the plane by non-overlapping polygons or other shapes, and a tiling is aperiodic if it does not contain arbitrarily large periodic regions or patches. However, despite their lack of translational symmetry, Penrose tilings may have both ...

4. Tile - Wikipedia

   en.wikipedia.org/wiki/Tile

   Tiles are usually thin, square or rectangular coverings manufactured from hard-wearing material such as ceramic, stone, metal, baked clay, or even glass. They are generally fixed in place in an array to cover roofs, floors, walls, edges, or other objects such as tabletops. Alternatively, tile can sometimes refer to similar units made from ...

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6. Euclidean tilings by convex regular polygons - Wikipedia

   en.wikipedia.org/wiki/Euclidean_tilings_by...

   Euclidean tilings are usually named after Cundy & Rollett’s notation. [1] This notation represents (i) the number of vertices, (ii) the number of polygons around each vertex (arranged clockwise) and (iii) the number of sides to each of those polygons. For example: 3 6; 3 6; 3 4.6, tells us there are 3 vertices with 2 different vertex types ...

7. Chamfered square tiling - Wikipedia

   en.wikipedia.org/wiki/Chamfered_square_tiling

   The truncated square tiling is drawn over an equilateral chamfered square tiling. In geometry, the chamfered square tiling or semitruncated square tiling is a tiling of the Euclidean plane. It is a square tiling with each edge chamfered into new hexagonal faces. It can also be seen as the intersection of two truncated square tilings with offset ...