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  2. Hexagonal tiling - Wikipedia

    en.wikipedia.org/wiki/Hexagonal_tiling

    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.

  3. 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 ...

  4. 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 ...

  5. 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.

  6. Triominoes - Wikipedia

    en.wikipedia.org/wiki/Triominoes

    Triominoes. A game of Triominoes. Note how adjacent tiles are placed with matching corner values, and note the completed hexagon of six tiles (with corner values of 1 at the center). There are two uncompleted hexagons of five tiles, also with corner values of 1 at the center. One could be completed with the 1-1-3 tile, and the other cannot be ...

  7. 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 ...

  8. Heptagonal tiling - Wikipedia

    en.wikipedia.org/wiki/Heptagonal_tiling

    The symmetry group of the tiling is the (2,3,7) triangle group, and a fundamental domain for this action is the (2,3,7) Schwarz triangle.This is the smallest hyperbolic Schwarz triangle, and thus, by the proof of Hurwitz's automorphisms theorem, the tiling is the universal tiling that covers all Hurwitz surfaces (the Riemann surfaces with maximal symmetry group), giving them a tiling by ...

  9. Trihexagonal tiling - Wikipedia

    en.wikipedia.org/wiki/Trihexagonal_tiling

    The trihexagonal tiling has Schläfli symbol of r{6,3}, or Coxeter diagram, , symbolizing the fact that it is a rectified hexagonal tiling, {6,3}. Its symmetries can be described by the wallpaper group p6mm, (*632), [ 15 ] and the tiling can be derived as a Wythoff construction within the reflectional fundamental domains of this group .

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