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2. List of tessellations - Wikipedia

   en.wikipedia.org/wiki/List_of_tessellations

   Download QR code; Print/export Download as PDF; Printable version; In other projects Wikidata item; Appearance. ... This is a list of tessellations.

3. Tessellation - Wikipedia

   en.wikipedia.org/wiki/Tessellation

   The fundamental region is a shape such as a rectangle that is repeated to form the tessellation. [22] For example, a regular tessellation of the plane with squares has a meeting of four squares at every vertex. [18] The sides of the polygons are not necessarily identical to the edges of the tiles.

4. List of mathematical shapes - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_shapes

   Tessellations of euclidean and hyperbolic space may also be considered regular polytopes. Note that an 'n'-dimensional polytope actually tessellates a space of one dimension less. For example, the (three-dimensional) platonic solids tessellate the 'two'-dimensional 'surface' of the sphere.

5. Voronoi diagram - Wikipedia

   en.wikipedia.org/wiki/Voronoi_diagram

   Let be a metric space with distance function .Let be a set of indices and let () be a tuple (indexed collection) of nonempty subsets (the sites) in the space .The Voronoi cell, or Voronoi region, , associated with the site is the set of all points in whose distance to is not greater than their distance to the other sites , where is any index different from .

6. The Symmetries of Things - Wikipedia

   en.wikipedia.org/wiki/The_Symmetries_of_Things

   The Symmetries of Things has three major sections, subdivided into 26 chapters. [8] The first of the sections discusses the symmetries of geometric objects. It includes both the symmetries of finite objects in two and three dimensions, and two-dimensional infinite structures such as frieze patterns and tessellations, [2] and develops a new notation for these symmetries based on work of ...

7. 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).

8. Domino tiling - Wikipedia

   en.wikipedia.org/wiki/Domino_tiling

   In geometry, a domino tiling of a region in the Euclidean plane is a tessellation of the region by dominoes, shapes formed by the union of two unit squares meeting edge-to-edge. Equivalently, it is a perfect matching in the grid graph formed by placing a vertex at the center of each square of the region and connecting two vertices when they ...

9. Honeycomb (geometry) - Wikipedia

   en.wikipedia.org/wiki/Honeycomb_(geometry)

   It is an example of the more general mathematical tiling or tessellation in any number of dimensions. Its dimension can be clarified as n -honeycomb for a honeycomb of n -dimensional space. Honeycombs are usually constructed in ordinary Euclidean ("flat") space.