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  2. Cairo pentagonal tiling - Wikipedia

    en.wikipedia.org/wiki/Cairo_pentagonal_tiling

    Properties. face-transitive. In geometry, a Cairo pentagonal tiling is a tessellation of the Euclidean plane by congruent convex pentagons, formed by overlaying two tessellations of the plane by hexagons and named for its use as a paving design in Cairo. It is also called MacMahon's net[1] after Percy Alexander MacMahon, who depicted it in his ...

  3. Islamic geometric patterns - Wikipedia

    en.wikipedia.org/wiki/Islamic_geometric_patterns

    Geometric patterns occur in a variety of forms in Islamic art and architecture. These include kilim carpets, Persian girih and Moroccan zellij tilework, muqarnas decorative vaulting, jali pierced stone screens, ceramics, leather, stained glass, woodwork, and metalwork. Interest in Islamic geometric patterns is increasing in the West, both among ...

  4. Hexagonal tiling - Wikipedia

    en.wikipedia.org/wiki/Hexagonal_tiling

    In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex. It has Schläfli symbol of {6,3} or t{3,6} (as a truncated triangular tiling). English mathematician John Conway called it a hextille.

  5. 65 Kitchen Tile Backsplash Ideas for the Ultimate Culinary ...

    www.aol.com/65-kitchen-tile-backsplash-ideas...

    Mosaic Tile. A backsplash featuring mosaic tile from Ann Sacks steals the show in a Richard Mishaan-designed kitchen in a TriBeCa building. The space also includes a custom island, range, and hood ...

  6. Pentagonal tiling - Wikipedia

    en.wikipedia.org/wiki/Pentagonal_tiling

    Pentagonal tiling. The 15th monohedral convex pentagonal type, discovered in 2015. In geometry, a pentagonal tiling is a tiling of the plane where each individual piece is in the shape of a pentagon. A regular pentagonal tiling on the Euclidean plane is impossible because the internal angle of a regular pentagon, 108°, is not a divisor of 360 ...

  7. Euclidean tilings by convex regular polygons - Wikipedia

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

    Euclidean tilings by convex regular polygons. A regular tiling has one type of regular face. A semiregular or uniform tiling has one type of vertex, but two or more types of faces. A k -uniform tiling has k types of vertices, and two or more types of regular faces. A non-edge-to-edge tiling can have different-sized regular faces.

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