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Q: Willa hexagonal tile tessellate

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yes

A regular hexagon will tessellate.

yes it will

Yes because it will tessellate

If their interior angles are a factor of 360 degrees, they will tessellate. Otherwise, they can't.

A regular octagon will not tessellate but an irregular one can.

Yes a triangle will tessellate leaving no gaps or overlaps

Sort of. Triangle is one of the shape that may tessellate(fit tightly). But one may argue that triangle is not a square (for sure), nor a tile (yet I think it may be) to a tessellate.

The rectangle is the simplest and most obvious case of a geometrical form that can tile a 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.

Find the area of the tile and this will depend on the shape of the tile. Tiles for regular or semi-regular tessellation may be triangular, quadrilateral (square, rectangular, rhombic, parallelograms, trapeziums), hexagonal or octagonal. The formula for the area in each case, is likely to be different.

For a shape to tile a plane, it must be capable of sharing a border with a copy of itself. Circles cannot do this; two circles which do not overlap touch in at most one point.

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