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  2. 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.

  3. Penrose tiling - Wikipedia

    en.wikipedia.org/wiki/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 reflection symmetry and ...

  4. Tessellation - Wikipedia

    en.wikipedia.org/wiki/Tessellation

    Tessellation in two dimensions, also called planar tiling, is a topic in geometry that studies how shapes, known as tiles, can be arranged to fill a plane without any gaps, according to a given set of rules. These rules can be varied. Common ones are that there must be no gaps between tiles, and that no corner of one tile can lie along the edge ...

  5. 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 ...

  6. Tessera - Wikipedia

    en.wikipedia.org/wiki/Tessera

    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. A close up of the bottom left corner of the picture above. Close inspection of the full picture reveals the individual tesserae.

  7. Trencadís - Wikipedia

    en.wikipedia.org/wiki/Trencadís

    Trencadís (Catalan pronunciation: [tɾəŋkəˈðis]), also known as pique assiette, broken tile mosaics, bits and pieces, memoryware, and shardware, is a type of mosaic made from cemented-together tile shards and broken chinaware. [1][2] Glazed china tends to be preferred, and glass is sometimes mixed in as well, as are other small materials ...

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