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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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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.


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


Which three regular polygons can tessellate in a plane?

The three regular polygons that can tessellate in a plane are equilateral triangles, squares, and regular hexagons. These shapes can fill a space without any gaps or overlaps because their interior angles are divisors of 360 degrees. Equilateral triangles have angles of 60 degrees, squares have angles of 90 degrees, and regular hexagons have angles of 120 degrees, all of which allow for complete tiling of the plane.

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


How can a hexagon tessllate?

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


Why do regular hexagons tessellate the plane by themselves?

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


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.