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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 will an equilateral triangle always tessellate a plane?
Yes
What regular polygons can tessellate a plane with no overlaps or gaps?
Triangle, square and hexagon
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.
Can a regular heptagon tessellate a plane with no overlaps or gaps?
No.
Will a regular octagon tessellate a plane with no overlaps or gaps?
No.
Can a pentagon be tessellate a plane with no overlaps or gaps?
No not normally
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.
Does a regular pentagon tessellate a plane with no overlaps or gaps?
yes no yes no
Does every equilateral tessellates a plane?
No. An equilateral polygon with 5 or with 7 or more sides will not tessellate a plane.
Is a rectangle tessellate?
The rectangle is the simplest and most obvious case of a geometrical form that can tile a plane.
