Q: What shape can be used to make a regular tessellation?

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A regular pentagon is one example.

Yes.

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.

Yes. For example a chess board.

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.

Related questions

Circles and simple ovals

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

No, it cannot.

no

A regular pentagon is one example.

Yes.

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.

No.

Yes. For example a chess board.

Yes it can

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.

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