Best Answer

Shapes tessellate to fit around an interior angle. They also tessellate because they are regular polygons; non-regular polygons cannot tessellate.

* * * * *

Not correct.

All triangles and quadrilaterals will tessellate, whether regular or irregular. Contrary to the above answer, a regular pentagon will not tessellate but there are 14 different irregular pentagons which will tessellate (the last was discovered in 2015). Three convex hexagons will do so as well.

No polygon of 7 or more sides will tessellate - whether they are regular (contrary to the above answer) or irregular.

Study guides

☆☆

Q: Why do shapes tessellate?

Write your answer...

Submit

Still have questions?

Continue Learning about Geometry

No not all shapes tessellate.

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

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

If their shapes are suitably matched they can tessellate together.

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

Related questions

No not all shapes tessellate.

All shapes

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

yes, most regular shapes can tessellate :)

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

yess

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

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

If their shapes are suitably matched they can tessellate together.

Triangles.

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

Yes. Any shape can tessellate if you allow other shapes. The simplest way is to select the other shapes so that the given shape and the "other shapes" can be combined to make a rectangle or square.

People also asked