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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 .
Tessellated designs often appear on textiles, whether woven, stitched in, or printed. Tessellation patterns have been used to design interlocking motifs of patch shapes in quilts. [75] [76] Tessellations are also a main genre in origami (paper folding), where pleats are used to connect molecules, such as twist folds, together in a repeating ...
Hyperbolic; Article Vertex configuration Schläfli symbol Image Snub tetrapentagonal tiling: 3 2.4.3.5 : sr{5,4} Snub tetrahexagonal tiling: 3 2.4.3.6 : sr{6,4} Snub tetraheptagonal tiling
The duotone pattern is characterized by a tessellation of light and dark solid checks alternating with light-and-dark diagonally-striped checks—similar in pattern to gingham plaid but with diagonally-striped squares in place of gingham's blended-tone squares. Traditionally, houndstooth uses black and white, although other contrasting colour ...
Pages in category "Tessellation" ... Tilings and patterns; Triangle group; Truchet tiles This page was last edited on 30 November 2019, at 08:33 ...
The geometric designs in Islamic art are often built on combinations of repeated squares and circles, which may be overlapped and interlaced, as can arabesques, with which they are often combined, to form intricate and complex patterns, including a wide variety of tessellations. These may constitute the entire decoration, may form a framework ...
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).
In geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane. It has Schläfli symbol of {4,4}, meaning it has 4 squares around every vertex. Conway called it a quadrille. The internal angle of the square is 90 degrees so four squares at a point make a full 360 degrees.