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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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Related questions

What shapes don't tessellate?

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


Do all shapes tessellate?

No not all shapes tessellate.


Can a square tessellate?

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


Which polygons tessellate with other shapes?

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


What shapes do not tessellate?

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.


Can a regular nonogon tessellate?

yes, most regular shapes can tessellate :)


Does a dodecagon tessellate?

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


Will a trapezium and a triangle tessellate together?

If their shapes are suitably matched they can tessellate together.


What type of shapes are easy to tessellate?

Triangles.


Can an arrow tessellate?

Certain arrow shapes will tessellate the plane. See the related links for some images or google: Arrow Tessellation Images


What shapes do not tessellate a plane?

circles and octagon do not tessellate as they overlap each other or leave spaces between them.


Can you tesselate a decagon?

There are decagonal shapes which will tessellate the plane.