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  2. 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 ...

  3. Pentagonal tiling - Wikipedia

    en.wikipedia.org/wiki/Pentagonal_tiling

    There are also 2-isohedral tilings by special cases of type 1, type 2, and type 4 tiles, and 3-isohedral tilings, all edge-to-edge, by special cases of type 1 tiles. There is no upper bound on k for k-isohedral tilings by certain tiles that are both type 1 and type 2, and hence neither on the number of tiles in a primitive unit.

  4. Penrose tiling - Wikipedia

    en.wikipedia.org/wiki/Penrose_tiling

    Another is to use a pattern of circular arcs (as shown above left in green and red) to constrain the placement of tiles: when two tiles share an edge in a tiling, the patterns must match at these edges. [21] These rules often force the placement of certain tiles: for example, the concave vertex of any dart is necessarily filled by two kites.

  5. Herringbone pattern - Wikipedia

    en.wikipedia.org/wiki/Herringbone_pattern

    Subtle alternating colors may be used to create a distinctive floor pattern, or the materials used may be the same, causing the floor to look uniform from a distance. Laying a herringbone floor is very challenging, since the multitude of small rows must be made to line up smoothly, which can be difficult in a room which is not perfectly flat.

  6. Saltillo tile - Wikipedia

    en.wikipedia.org/wiki/Saltillo_tile

    Saltillo tiles vary in color and shape, but the majority of Traditional Saltillo tiles range in varying hues of reds, oranges, and yellows. [3] Manganese Saltillo tile has light and dark brown colors with some terracotta tones. Antique Saltillo [4] tile is a hand-textured finished with deep terracotta tones of color. With its textured surface ...

  7. Euclidean tilings by convex regular polygons - Wikipedia

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

    With a final vertex 3 4.6, 4 more contiguous equilateral triangles and a single regular hexagon. However, this notation has two main problems related to ambiguous conformation and uniqueness [2] First, when it comes to k-uniform tilings, the notation does not explain the relationships between the vertices. This makes it impossible to generate a ...

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