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Tessellations
 

Tessellations are repeating patterns of distinct shapes. The word "repeating" means that the tessellation can be broken down into identical sections. These sections repeat throughout the design.

Tessellations are different from patterns in that patterns usually do not have distinct closed shapes. A closed shape is a shape that has a definite interior (inside) and definite exterior (outside).

Tessellation and Pattern

On the left is a true tessellation; on the right is not a tessellation but a pattern. Patterns repeat but do not have clearly defined closed shapes. Tessellations repeat and do have clearly defined closed shapes.

The wide variety of tessellations can be categorized based on whether they are composed of polygons. (Polygons have the requirement that its boundaries must be straight lines.) The section of this site labeled "Mosaics/Tilings" deals exclusively with tessellations of polygons.

There is a class of techniques used to create tessellations of shapes that represent actual objects; these tessellations are not necessarily composed of polygons. Notably, the famous Dutch artist M.C. Escher used this class of techniques to create many of his famous works of art. The section of this site labeled "Escher" deals exclusively with this class of techniques.

Real examples of patterns that are not tessellations:


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