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There can be no answer because the assertion is not true. There are 15 types of convex pentagons - the last discovered in 2015 - which will tessellate.

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Q: Why is it that only quadrilaterals triangles and hexagons can tessellate the plane?
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Related questions

What shapes can tessellate on a plane with no overlaps or gaps?

A plane can be tessellated by triangles, various quadrilaterals, 15 types of convex pentagons (latest discovered in 2015) and various hexagons. No convex polynomial with 7 or more sides will tessellate.


It's possible to tessellate a plane with?

It is possible to tessellate a plane with squares, triangles, and hexagons. To tessellate something means to cover it with repeated use of a single shape, without gaps or overlapping.


Does a decagon tessellate a plane?

No. No shape with 7 or more sides will tessellate with multiple copies of itself. All traigles and quadrilaterals will tessellate, there are 14 irregular pentagons (the last was discovered in 2016), and a number of hexagons - including the regular hexagon.


What plane shapes can you make out of a hexagon?

Out of a hexagon, only a hexagon.If you have many hexagons, they can tessellate a plane, although the boundaries of this shape will be concave in parts.Out of a hexagon, only a hexagon.If you have many hexagons, they can tessellate a plane, although the boundaries of this shape will be concave in parts.Out of a hexagon, only a hexagon.If you have many hexagons, they can tessellate a plane, although the boundaries of this shape will be concave in parts.Out of a hexagon, only a hexagon.If you have many hexagons, they can tessellate a plane, although the boundaries of this shape will be concave in parts.


Do congruent regular hexagons tessellate a plane?

yes -novanet


Is a hexagon tessellates?

No, a hexagon is not a tessellation. Some hexagons can tessellate a plane, others will not.


What shapes tessellate a plane?

Squares, triangles,rectangles,hexagon,parrellagram


Why do regular hexagons tessellate the plane by themselves?

you shall know the answer when you look inside your hearts, remember to stay calm;)


How can a hexagon tessllate?

Some hexagons can tessellate because replicates of the shape can cover a plane without overlap or gaps.


If a cube intersects a plane what possible figures can be formed?

Quadrilaterals and triangles.


Can a hexagon tesselate?

Yes. Tessellated hexagons are the basis of many natural structures such as honeycombs.


How are triangles and quadrilaterals related?

They are closed plane figures bounded by straight lines.