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Tessellation is defined as the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions. A periodic tiling has a repeat pattern. A regular quadrilateral can be used by itself to make a tessellation.

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Q: Can a regular quadrilateral be used by itself to make a tessellation?

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no

No.

Yes it can

No, it is not possible.

The only regular polygons are those with 3, 4 or 6 sides.

The only shapes which will make a regular tessellation are:an equilateral trianglea squarea regular hexagon.

Not a regular one.

No, it is not possible.

Yes a square will tessellate on its own

True...

No, it cannot.

Strictly speaking, no, because a semi-regular tessellation must be based on regular polygons and rhombi are not regular polygons. However, octagons and rhombi can be used to make a non-regular tessellation.

There are only three regular polygons which can make a regular tessellation?

True Apex

It can be used only if the measure of its interior angle is a factor of 360 degrees.

A regular polygon will tessellate if its interior angle divides 360 evenly.

Yes.

false

Triangle, square, hexagon.

It is extremely difficult to explain how since it is, in fact, impossible!

False... Because ?

No Internat angle of a regular octagon is 135°. No multiple of 135° will make 360°. Thus at any point there can be at most two octagons and a 90° gap. Ratty

Yes. For example a chess board.

Circles and simple ovals

No. Squares and regular hexagons, both with an even number of sides, can make regular tessellations.