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If you subtract two from the amount of sides there are in the polygon than mutiply that by 180 you than divide that number by the original amount of sides there was by 360 and if it goes into it without a decimal it tessalates.

Ex. (10-2)180/360

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Q: How can you tell if a regular polygon will tessellate?
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Continue Learning about Geometry

Which other regular polygon will a regular heptagon tessellate with?

There is no such polygon.


Do nonagons tessellate?

yes * * * * * Wrong! A nonagon, regular or not, will not tessellate. In fact, no polygon with 7 or more sides will tessellate.


Is it possible to tessellate a plane by using any single type of regular polygon?

No because a regular polygon will only tessellate if its interior angle is a factor of 360 degrees. For example an equilateral triangle will tessellate because its interior angle is 60 degrees which is a factor of 360 degrees.


Why do shapes tessellate?

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.


Can irregular polygons tessellate?

Some can, but not all. For example, rhombi, rhomboids, oblongs, and isosceles triangles can tessellate; however, most irregular polygons cannot. * * * * * True, but an incomplete answer. All triangles and quadrilaterals, whether regular or irregular, will tessellate. No regular pentagon will tessellate but (as of 2016), there are 15 irregular pentagons which will tessellate. There are 3 convex hexagons, (regular and 2 irregular) which will tessellate. No polygon with 7 or more sides, even if it is regular, will tessellate.

Related questions

Which other regular polygon will a regular heptagon tessellate with?

There is no such polygon.


Which regular polygon will not tessellate by itself?

A regular pentagon


Can you tessellate a six sided regular polygon?

Yes a regular 6 sided hexagon will tessellate


Does a regular 10 sided polygon tessellate?

No.


Do nonagons tessellate?

yes * * * * * Wrong! A nonagon, regular or not, will not tessellate. In fact, no polygon with 7 or more sides will tessellate.


Why will a regular 9 sided polygon not tessellate?

of course not. it mellessellates


Do regular polygons tessellate?

Any polygon with external angles which are equal to a factor of 360 will tessellate. The only regular polygons which will tessellate are equilateral triangles, squares, and hexagons.


What is the secret that allows some regular polygon to tessellate and not others?

If their exterior angles are factors of 360 then they will tessellate.


Which polygon does not tessellate and why?

Most regular polygons will not - by themselves. In fact, of the regular polygons, only a triangle, square and hexagon will. No other regular polygon will create a regular tessellation. However, for polygons with any number of sides, there are irregular versions that can tessellate.


Can a regular polygon with more than 6 sides ever tessellate?

No because as the polygon gets smaller the angles and sides get biggerso they can't tessellate by themselves.


Which regular polygon will tessellate alone?

An equilateral triangle, a square and a hexagon.


Is it true you can not tessellate six sides polygon by itself?

No, it is not true that you cannot tessellate a six-sided polygon by itself. Hexagons are a type of polygon that can tessellate, which means they can be arranged in a repeating pattern to completely cover a plane without any gaps or overlaps.