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  2. Order-8 triangular tiling - Wikipedia

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

    From a Wythoff construction there are ten hyperbolic uniform tilings that can be based from the regular octagonal and order-8 triangular tilings.. Drawing the tiles colored as red on the original faces, yellow at the original vertices, and blue along the original edges, there are 10 forms.

  3. Penrose tiling - Wikipedia

    en.wikipedia.org/wiki/Penrose_tiling

    The matching rules force a particular substitution: the two A L tiles in a φ A L tile must form a kite, and thus a kite decomposes into two kites and a two half-darts, and a dart decomposes into a kite and two half-darts. [45] [46] Enlarged φ B-tiles decompose into B-tiles in a similar way (via φ A-tiles).

  4. Aperiodic tiling - Wikipedia

    en.wikipedia.org/wiki/Aperiodic_tiling

    The Penrose tiles, and shortly thereafter Amman's several different sets of tiles, [21] were the first example based on explicitly forcing a substitution tiling structure to emerge. Joshua Socolar , [ 22 ] [ 23 ] Roger Penrose , [ 24 ] Ludwig Danzer , [ 25 ] and Chaim Goodman-Strauss [ 20 ] have found several subsequent sets.

  5. Tile - Wikipedia

    en.wikipedia.org/wiki/Tile

    Patterned tiles, or tiles making up patterns, were now mass-produced by machine and reliably level for floors and cheap to produce, especially for churches, schools and public buildings, but also for domestic hallways and bathrooms. For many uses the tougher encaustic tile was used.

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  7. Binary tiling - Wikipedia

    en.wikipedia.org/wiki/Binary_tiling

    Square tiles in a bathroom. A tiling of a surface is a covering of the surface by geometric shapes, called tiles, with no overlaps and no gaps.An example is the familiar tiling of the Euclidean plane by squares, meeting edge-to-edge, [2] as seen for instance in many bathrooms. [3]

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