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Q: Can an octagon and square tessellate?

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No, but an octagon and a square can tessellate.

no

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

square and octagon

An octagon can be used to create a tessellation, but an octagon cannot tessellate on its own.

Square.

No, it can't be tessellate.

An octagon cannot tessellate because when you put about 4 together, there are gaps in between the shapes, which is not allowed in a tessellation. When you put together 5 octagon's, some of them are overlapping and there still are gaps. Therefore, an octagon cant tessellate.

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

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

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

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

YES

No, it will not tessellate.

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

Yes, it will.

No

No, they cannot.

A square can tessellate but a regular pentagon can't tessellate

No, they will not fit together, you will also need a square with sides equal in length to the sides of the octagon.

circles and octagon do not tessellate as they overlap each other or leave spaces between them.

You cannot use a regular octagon on it's own to make a tiling pattern without any gaps. However a regular Octagon and a square can be used together to make a tessellation. Many people think that regular octagons tesselate on their own because they do not appreciate the need for no gaps.

To be able to tessellate where a vertex meets other vertices, the total of those angles must be a full circle of 360°. The interior angle of an Octagon is 135° which does not divide into 360° which means there cannot be a complete number of vertices meeting and so it cannot, by itself, tessellate. However, two octagons meeting at a point would have 135° + 135° = 270° leaving 90° which is the interior angle of a square. So octagons and squares together will tessellate.

A square will tessellate leaving no gaps or overlaps but a circle does not tessellate.

No.

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