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Shapes can tessellate only if a number of them can meet at a point and cover 360 degrees without overlap. For regular shapes this requires that the angles of the shape are a factor of 360 degrees. For non-regular shapes it is necessary that the angles of the shapes can be grouped so that they sum to 360 degrees.

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Q: Why can only some shapes tessellate?

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I believe that regular shapes will only tessellate if the sum of their internal angles is a multiple of 180.

No not all shapes tessellate.

Some 3D shapes will tessellate as for example a brick wall

All shapes

Select a shape that tessellates. Some shapes will tessellate by themselves, others will tessellate in pairs (octagons and squares), or larger groups. See the link for a flavour.

noX YES! They CAN tessellate! Triangles, squares, and hexagons are the only shapes that can tessellate by themselves! So yes, squares can tesselate!

For any polygon, there will be other shapes such that, together, they can tessellate.

Me ain no a ting bout dat

yes, most regular shapes can tessellate :)

yess

Shapes such as circles, regular pentagons, and heptagons.Most regular polygons will not tessellate on their own. Only triangles, squares and hexagons will.With irregular polygons there is more of a choice. All isosceles or scalene triangles, parallelograms, trapeziums and kites will tessellate as will some higher order polygons.

Yes it does tessellate. * * * * * That is simply not true. No polygon with 7 or more sides will tessellate with identical shapes.

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