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Tessellation is an arrangement of repeating shapes that have what characteristic?
The characteristic is that they cover all the area, without leaving gaps.
What shapes and patterns were commonly used for tessellation?
commonly used tessellation shapes
How many shapes can you use in a tessellation?
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.
What is the difference between a tessellation and a regular tessellation?
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.
Why do some shapes tessellate and some don't?
Tessellation is repeating a pattern over and over and filling an area with no overlaps and no gaps. Some shapes can't do this, because they don't fit with themselves without leaving big gaps between the parts.
