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

Updated: 11/4/2022

Wiki User

11y ago

Triangle, square and hexagon

Wiki User

11y ago

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

No.

No.

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.

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.

No not normally

yes

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.

Can heptagon tessellate?

No. Equilateral heptagons (7 sided figures) do not tessellate the plane. Not if no other polygons are allowed. But if you allow a (non-equilateral) pentagon then you might be able to tessellate the plane!