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2. These Beautiful Bathroom Tile Ideas Will Make You Want to ...

   www.aol.com/beautiful-bathroom-tile-ideas-want...

   Here in this bathroom by designer Jenni Yolo of I Spy DIY, a checkered feature wall, with the same blue tile that surrounds the sink, steals the show while a black-and-white cross tile design ...

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. Cairo pentagonal tiling - Wikipedia

   en.wikipedia.org/wiki/Cairo_pentagonal_tiling

   Properties. face-transitive. In geometry, a Cairo pentagonal tiling is a tessellation of the Euclidean plane by congruent convex pentagons, formed by overlaying two tessellations of the plane by hexagons and named for its use as a paving design in Cairo. It is also called MacMahon's net[1] after Percy Alexander MacMahon, who depicted it in his ...

5. Aperiodic tiling - Wikipedia

   en.wikipedia.org/wiki/Aperiodic_tiling

   An aperiodic tiling using a single shape and its reflection, discovered by David Smith. An aperiodic tiling is a non-periodic tiling with the additional property that it does not contain arbitrarily large periodic regions or patches. A set of tile-types (or prototiles) is aperiodic if copies of these tiles can form only non- periodic tilings.

6. Mosaic - Wikipedia

   en.wikipedia.org/wiki/Mosaic

   A mosaic is a pattern or image made of small regular or irregular pieces of colored stone, glass or ceramic, held in place by plaster / mortar, and covering a surface. [1] Mosaics are often used as floor and wall decoration, and were particularly popular in the Ancient Roman world. Mosaic today includes not just murals and pavements, but also ...

7. Wang tile - Wikipedia

   en.wikipedia.org/wiki/Wang_tile

   In 1961, Wang conjectured that if a finite set of Wang tiles can tile the plane, then there also exists a periodic tiling, which, mathematically, is a tiling that is invariant under translations by vectors in a 2-dimensional lattice. This can be likened to the periodic tiling in a wallpaper pattern, where the overall pattern is a repetition of ...