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Triangle, square and hexagon

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Q: What regular polygons can tessellate a plane with no overlaps or gaps?
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Related questions

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

Equilateral triangle, square and regular hexagon.


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

Equilateral triangle, square and regular hexagon.


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.


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

yes no yes no


What does semi regular tessellation have?

It has two regular polygons which can be used together to tessellate a plane.


How many regular polygons does it take to tessellate a graph plane?

The answer depends on the size of the plane and of each polygon.


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

No not normally


Which polygon will not tessellate a plane?

Most regular polygons will not - by themselves. In fact, of the regular polygons, only a triangle, square and hexagon will. No other regular polygon will create a regular tessellation.


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

yes


Will a regular isosceles triangle tessellate?

No, a regular isosceles triangle will not tessellate. In order for a shape to tessellate, it must be able to fit together with copies of itself without any gaps or overlaps. Regular isosceles triangles have angles of 90, 45, and 45 degrees, which do not allow for a repeating pattern that covers a plane without any spaces. Regular polygons that tessellate include equilateral triangles, squares, and hexagons.


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.