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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 .
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
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 ...
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).
Pages in category "Tessellation" ... Tilings and patterns; Triangle group; Truchet tiles This page was last edited on 30 November 2019, at 08:33 ...
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.
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 ...
One approach is to color the vertices (with two colors, e.g., black and white) and require that adjacent tiles have matching vertices. [32] Another is to use a pattern of circular arcs (as shown above left in green and red) to constrain the placement of tiles: when two tiles share an edge in a tiling, the patterns must match at these edges. [21]