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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.

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Q: What shapes can tessellate on a plane with no overlaps or gaps?
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Related questions

Will a regular octagon tessellate a plane with no overlaps or gaps?

No.


Can a regular heptagon tessellate a plane with no overlaps or gaps?

No.


Can a pentagon be tessellate a plane with no overlaps or gaps?

No not normally


Does an equilateral triangle tessellate a plane with no overlaps or gaps?

yes


Does a regular pentagon tessellate a plane with no overlaps or gaps?

yes no yes no


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

Triangle, square and 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.


Why honey comb is hexagonal in shape?

Because regular hexagonal shapes are able to tessellate leaving no gaps or overlaps.


Why do all quadrilaterals tessellate?

In geometry, when quadrilaterals tessellate, they fill a finite or infinite space with no overlaps or gaps between shapes. All quadrilaterals tessellate because they can all be linked together side by side in some shape or form with no overlaps. In geometry, when quadrilaterals tessellate, they fill a finite or infinite space with no overlaps or gaps between shapes. All quadrilaterals tessellate because they can all be linked together side by side in some shape or form with no overlaps.


Will a regular hexagon tessellate with no overlaps or gaps?

Yes, hexagons will tessellate.


Will a square and a circle tessellate?

A square will tessellate leaving no gaps or overlaps but a circle does not tessellate.