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I think it has something to do with their angles all adding up to 360 degrees! If you take the internal angle measure of a hexagon (150 I think) and add it up to the 90 degrees in a square and the 60 degrees in an equilateral triangle, you get 360! so it all works out. But squares and hexagons can only tessellate with equilateral triangles so bear that in mind. I think it has something to do with their angles all adding up to 360 degrees! If you take the internal angle measure of a hexagon (150 I think) and add it up to the 90 degrees in a square and the 60 degrees in an equilateral triangle, you get 360! so it all works out. But squares and hexagons can only tessellate with equilateral triangles so bear that in mind.

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Related Questions

Which regular polygon will tessellate alone?

An equilateral triangle, a square and a hexagon.


What regular polygons can tessellate a plane with no overlaps or gaps?

Triangle, square and hexagon


What are the 3 regular polygons that tessellate?

square, equillateral triangle, & regular hexagon


Which ragular polygons can tessellate a plane with no overlaps or gaps?

Equilateral triangle, square and regular hexagon.


Which regular polygons can tessellate a plane with no overlaps or gaps?

Equilateral triangle, square and regular hexagon.


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.


Can all regular polygons tessellate?

No only three can tesselate. they are: An equilateral triangle, a square and a 6 sided hexagon.


What are 4 shapes that tessellate?

*square *triangle *hexagon It is basically that shape that go together and that they don't have gaps in between them


What regular polygons tessellate on their own without any spaces or overlaps?

Equilateral triangle, square and regular hexagon.


Which polygons will tile the plane?

If it's interior angle is a factor of 360 then it will tessellate such as a square, a regular hexagon and an equilateral triangle.


Which figure can not be used as a tessellation a square or a triangle or a pentagon or a hexagon?

All of them can be used.Any triangle or quadrilateral will tessellate. There are 15 classes of irregular convex pentagons which will tessellate. Regular hexagons and 32 classes of irregular convex hexagons will tessellate. There are also concave pentagonal and hexagonal shapes which will tessellate.


Can a hexagon and a square be made to tessellate?

No. Hexagons and squares will each tessellate by themselves but one can not make a tessellation out of hexagons and squares combined. However, if you add in a third shape, the triangle, one can make a tessellation.

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