A monohedral tiling

May 19th, 2015
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University of St. Francis
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A monohedral tiling is a tessellation in which all tiles are congruent; it has only one prototile. A particularly interesting type of monohedral tessellation is the spiral monohedral tiling.

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Atessellationis the tiling of aplaneusing one or more geometric shapes, called tiles, with no overlaps and no gaps. Inmathematics, tessellations can be generalized to higher dimensions.Some special kinds of tessellations includeregular, with tiles all of the same shape;semi-regular, with tiles of more than one shape; andaperiodic tilings, which use tiles that cannot form a repeating pattern. The patterns formed by periodic tilings can be categorized into 17wallpaper groups.Incomputer graphics, the term "tessellation" is used to describe the organization of information

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