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  2. List of aperiodic sets of tiles - Wikipedia

    en.wikipedia.org/.../List_of_aperiodic_sets_of_tiles

    An example of such a tiling is shown in the adjacent diagram (see the image description for more information). A tiling that cannot be constructed from a single primitive cell is called nonperiodic. If a given set of tiles allows only nonperiodic tilings, then this set of tiles is called aperiodic . [ 3 ]

  3. Voderberg tiling - Wikipedia

    en.wikipedia.org/wiki/Voderberg_tiling

    Voderberg, his student, answered in the affirmative with Form eines Neunecks eine Lösung zu einem Problem von Reinhardt ["On a nonagon as a solution to a problem of Reinhardt"]. [ 2 ] [ 3 ] It is a monohedral tiling: it consists only of one shape that tessellates the plane with congruent copies of itself.

  4. Aperiodic tiling - Wikipedia

    en.wikipedia.org/wiki/Aperiodic_tiling

    For example, the chair tiles shown below admit a substitution, and a portion of a substitution tiling is shown at right below. These substitution tilings are necessarily non-periodic, in precisely the same manner as described above, but the chair tile itself is not aperiodic – it is easy to find periodic tilings by unmarked chair tiles that ...

  5. These Bathroom Tile Trends Will Be Everywhere in 2025 ... - AOL

    www.aol.com/lifestyle/bathroom-tile-trends...

    Here are the top five bathroom tile trends that interior designers expect to see everywhere in the new year. Related: Designers Are Betting on These Fresh Bathroom Trends for 2025 Textured Treatments

  6. Penrose tiling - Wikipedia

    en.wikipedia.org/wiki/Penrose_tiling

    The tiles in the square tiling have only one shape, and it is common for other tilings to have only a finite number of shapes. These shapes are called prototiles, and a set of prototiles is said to admit a tiling or tile the plane if there is a tiling of the plane using only these shapes.

  7. Euclidean tilings by convex regular polygons - Wikipedia

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

    For example: 3 6; 3 6; 3 4.6, tells us there are 3 vertices with 2 different vertex types, so this tiling would be classed as a ‘3-uniform (2-vertex types)’ tiling. Broken down, 3 6 ; 3 6 (both of different transitivity class), or (3 6 ) 2 , tells us that there are 2 vertices (denoted by the superscript 2), each with 6 equilateral 3-sided ...

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