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  2. Vinyl composition tile - Wikipedia

    en.wikipedia.org/wiki/Vinyl_composition_tile

    Vinyl floor tiling. Vinyl composition tile (VCT) is a finished flooring material used primarily in commercial and institutional applications. Modern vinyl floor tiles and sheet flooring and versions of those products sold since the early 1980s are composed of colored polyvinyl chloride (PVC) chips formed into solid sheets of varying thicknesses (1 ⁄ 8 in or 3.2 mm is most common) by heat and ...

  3. Penrose tiling - Wikipedia

    en.wikipedia.org/wiki/Penrose_tiling

    If a square tiling is shifted by the width of a tile, parallel to the sides of the tile, the result is the same pattern of tiles as before the shift. A shift (formally, a translation) that preserves the tiling in this way is called a period of the tiling. A tiling is called periodic when it has periods that shift the tiling in two different ...

  4. Cairo pentagonal tiling - Wikipedia

    en.wikipedia.org/wiki/Cairo_pentagonal_tiling

    Infinitely many different pentagons can form this pattern, belonging to two of the 15 families of convex pentagons that can tile the plane. Their tilings have varying symmetries; all are face-symmetric. One particular form of the tiling, dual to the snub square tiling, has tiles with the minimum possible perimeter among all pentagonal tilings ...

  5. 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 ...

  6. Euclidean tilings by convex regular polygons - Wikipedia

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

    Following Grünbaum and Shephard (section 1.3), a tiling is said to be regular if the symmetry group of the tiling acts transitively on the flags of the tiling, where a flag is a triple consisting of a mutually incident vertex, edge and tile of the tiling. This means that, for every pair of flags, there is a symmetry operation mapping the first ...

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