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Which polygons do not tessellate

Updated: 10/18/2022
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9y ago

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Pentagons, decagons, and octagons will not tessellate. In order to create a tessellation, the sum of the angles at a point must be 360.

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Q: Which polygons do not tessellate
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Related questions

Can you tessellate six-sided polygons by themselves?

Yes, you can tessellate six-sided polygons by themselves.


Can you tessellate five sided regular polygons by themselves?

five-sided polygons cannot tessellate


Is it true that you cannot tessellate seven sided polygons by themselves?

You cannot tessellate convex polygons with 7 or more sides.


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.


How can you tell if a regular shape will tessellate?

It will tessellate if its vertices divide into 360 degrees evenly. The only regular polygons that will tessellate are an equilateral triangle, a square and a regular hexagon. There are other, non-regular, polygons that will tessellate.


Which polygons tessellate with other shapes?

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


How do you classify a polygon in a tessellation?

Some polygons will tessellate,some with tessellate along with one or more other polygons,some will not tessellate.These classes have no specific names.


Does regular heptagon tessellate?

True * * * * * No. The only regular polygons that will tessellate are a triangle, a square and a heagon. So a regular heptagon will not tessellate.


Can you tessellate eight-sided regular polygons by themselves?

No.


Which polygons cannot be used to form a regular tesselation?

Most regular polygons will not tessellate but if their interior angles is a factor of 360 degrees then they will tessellate or if their angles around a point add up to 360 degrees then they also will tessellate.


Will all polygons tessellate?

No because only polygons whose interior angles are a factor of 360 will tessellate. For instance a regular pentagon will not tessellate because its interior angle is 108 degrees but a hexagon will tessellate because its interior angle is 120 degrees which is a factor of 360.


Is it true that you can tessellate seven-sided polygons by themselves?

No convex polygon with 7 or more sides will tessellate.