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2. Order-8 triangular tiling - Wikipedia

   en.wikipedia.org/wiki/Order-8_triangular_tiling

   Mirrors can be removed if its branch orders are all even, and cuts neighboring branch orders in half. Removing two mirrors leaves a half-order gyration point where the removed mirrors met. In these images fundamental domains are alternately colored black and white, and mirrors exist on the boundaries between colors.

3. Tessera - Wikipedia

   en.wikipedia.org/wiki/Tessera

   A tessera (plural: tesserae, diminutive tessella) is an individual tile, usually formed in the shape of a square, used in creating a mosaic. It is also known as an abaciscus or abaculus . The unique illuminating effect of golden tesserae, Cappella Palatina in Palermo , Sicily , 12th century A mosaic made from tesserae in St Peter's Basilica ...

4. Mosaic - Wikipedia

   en.wikipedia.org/wiki/Mosaic

   A tile mosaic is a digital image made up of individual tiles, arranged in a non-overlapping fashion, e.g. to make a static image on a shower room or bathing pool floor, by breaking the image down into square pixels formed from ceramic tiles (a typical size is 1 in × 1 in (25 mm × 25 mm), as for example, on the floor of the University of ...

5. List of aperiodic sets of tiles - Wikipedia

   en.wikipedia.org/.../List_of_aperiodic_sets_of_tiles

   Uses mirror images of tiles for tiling. No image: Pegasus tiles: 2: E 2: 2016 [25] [25] [26] Variant of the Penrose hexagon-triangle tiles. Discovered in 2003 or earlier. Golden triangle tiles: 10: E 2: 2001 [27] [28] Date is for discovery of matching rules. Dual to Ammann A2. Socolar tiles: 3: E 2: 1989 [29] [30] [31] Tilings MLD from the ...

6. Penrose tiling - Wikipedia

   en.wikipedia.org/wiki/Penrose_tiling

   This symmetry will generally preserve only a patch of tiles around the center point, but the patch can be very large: Conway and Penrose proved that whenever the colored curves on the P2 or P3 tilings close in a loop, the region within the loop has pentagonal symmetry, and furthermore, in any tiling, there are at most two such curves of each ...

7. Tessellation - Wikipedia

   en.wikipedia.org/wiki/Tessellation

   Truchet tiles are square tiles decorated with patterns so they do not have rotational symmetry; in 1704, Sébastien Truchet used a square tile split into two triangles of contrasting colours. These can tile the plane either periodically or randomly. [46] [47] An einstein tile is a single shape that forces aperiodic tiling. The first such tile ...