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The characteristic is that they cover all the area, without leaving gaps.

Q: Tessellation is an arrangement of repeating shapes that have what characteristic?

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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.

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They cover a plane area without gaps or overlaps.

No spaces or overlaps exist between it's pieces.

commonly used tessellation shapes

A geometric tessellation is a pattern of shapes and colorsAnother Answer:-Geometric tessellation is when shapes on a plane blend together with no gaps or overlaps.

An arrangement of polygonal regions could be called a tessellation. This usually occurs when these regions are placed over a plane. The shapes in these regions are usually hexagons, equilateral triangles, and squares.

rhythm

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rhythm

No. The shapes used for tessellation must be finite. A quadrant is not finite.

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.

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.