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In the geometry of tessellations, a rep-tile or reptile is a shape that can be dissected into smaller copies of the same shape. The term was coined as a pun on animal reptiles by recreational mathematician Solomon W. Golomb and popularized by Martin Gardner in his " Mathematical Games " column in the May 1963 issue of Scientific American . [ 1 ]
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 .
A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics , tessellation can be generalized to higher dimensions and a variety of geometries.
Print/export Download as PDF; Printable version; In other projects ... Pages in category "Regular tessellations" The following 12 pages are in this category, out of ...
Print/export Download as PDF; Printable version; In other projects ... Pages in category "Tessellation" The following 43 pages are in this category, out of 43 total.
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