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  2. Euclidean tilings by convex regular polygons - Wikipedia

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

    Following Grünbaum and Shephard (section 1.3), a tiling is said to be regular if the symmetry group of the tiling acts transitively on the flags of the tiling, where a flag is a triple consisting of a mutually incident vertex, edge and tile of the tiling. This means that, for every pair of flags, there is a symmetry operation mapping the first ...

  3. List of Euclidean uniform tilings - Wikipedia

    en.wikipedia.org/wiki/List_of_euclidean_uniform...

    An example of uniform tiling in the Archeological Museum of Seville, Sevilla, Spain: rhombitrihexagonal tiling Regular tilings and their duals drawn by Max Brückner in Vielecke und Vielflache (1900) This table shows the 11 convex uniform tilings (regular and semiregular) of the Euclidean plane , and their dual tilings.

  4. Tessellation - Wikipedia

    en.wikipedia.org/wiki/Tessellation

    There are eight semi-regular tilings (or nine if the mirror-image pair of tilings counts as two). [27] These can be described by their vertex configuration; for example, a semi-regular tiling using squares and regular octagons has the vertex configuration 4.8 2 (each vertex has one square and two octagons). [28]

  5. Snub square tiling - Wikipedia

    en.wikipedia.org/wiki/Snub_square_tiling

    In geometry, the snub square tiling is a semiregular tiling of the Euclidean plane. There are three triangles and two squares on each vertex. Its Schläfli symbol is s{4,4}. Conway calls it a snub quadrille, constructed by a snub operation applied to a square tiling (quadrille). There are 3 regular and 8 semiregular tilings in the plane.

  6. Category:Semiregular tilings - Wikipedia

    en.wikipedia.org/wiki/Category:Semiregular_tilings

    Truncated trioctagonal tiling This page was last edited on 5 November 2014, at 23:18 (UTC). Text is available under the Creative Commons Attribution ...

  7. Uniform tilings in hyperbolic plane - Wikipedia

    en.wikipedia.org/wiki/Uniform_tilings_in...

    In hyperbolic geometry, a uniform hyperbolic tiling (or regular, quasiregular or semiregular hyperbolic tiling) is an edge-to-edge filling of the hyperbolic plane which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other).

  8. Semiregular polyhedron - Wikipedia

    en.wikipedia.org/wiki/Semiregular_polyhedron

    In its original definition, it is a polyhedron with regular polygonal faces, and a symmetry group which is transitive on its vertices; today, this is more commonly referred to as a uniform polyhedron (this follows from Thorold Gosset's 1900 definition of the more general semiregular polytope).

  9. List of tessellations - Wikipedia

    en.wikipedia.org/wiki/List_of_tessellations

    Dual semi-regular Article Face configuration Schläfli symbol Image Apeirogonal deltohedron: V3 3.∞ : dsr{2,∞} Apeirogonal bipyramid: V4 2.∞ : dt{2,∞} Cairo pentagonal tiling