The characteristic is that they cover all the area, without leaving gaps.
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They cover a plane area without gaps or overlaps.
commonly used tessellation shapes
rhythm
Every triangle will tessellate and, since there are infinitely many possible triangles, there are infinitely many shapes that can be used for tessellation. On the other hand, in any single tessellation you can only use a finite number of shapes.
A regular tessellation is a tessellation composed entirely of congruent polygons - meaning that ALL shapes in the tessellation are the same. Only 3 regular tessellations exist: equilateral triangles, regular hexagons, and squares. A tessellation is any pattern of shapes which can be repeated infinitely throughout a plane without leaving any "spaces" between the connected patterns and also without any of the shapes overlapping each other.