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Triangle, square and hexagon

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

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Equilateral triangle, square and regular hexagon.

No.

yes no yes no

No not normally

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.

Related questions

Equilateral triangle, square and regular hexagon.

Equilateral triangle, square and regular hexagon.

No.

No.

yes no yes no

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

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

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

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.

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!