A pattern of shapes that has no gaps or overlapping is called a tessellation. Tessellations are arrangements of closed shapes that completely cover a surface without any overlaps or gaps. They can be created using a variety of shapes, such as triangles, squares, hexagons, or even more complex shapes. Tessellations can be found in art, architecture, and mathematics, and have been studied for centuries for their aesthetic and geometric properties.
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A pattern of shapes without overlapping or gaps is called a tiling.
Note. Although a tiling can have as many shapes as you want, the number of different shapes must be finite.
An octagon cannot tessellate because when you put about 4 together, there are gaps in between the shapes, which is not allowed in a tessellation. When you put together 5 octagon's, some of them are overlapping and there still are gaps. Therefore, an octagon cant tessellate.
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.
This is a pattern made up of identical shapes, they must fit together without any gaps and the shapes must not overlap. Multiple regular shapes are squares, triangles, hexagons and dodecagons
Tessellations
tessellation