Can you tessellate a regular octagon

Wiki User. So octagons and squares together will tessellate. A regular octagon will not tessellate but an irregular one can. No, it can't be tessellate. A regular octagon will not tessellate but an irregular one will. Yes, it will. 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 - the 'spaces' left over are squares.

No, but an octagon and a square can tessellate. By itself, it will never tessellate. An octagon can be used to create a tessellation, but an octagon cannot tessellate on its own. No, there would be triangles in between. To tessellate a plane you would also need squares.

Then in order to tessellate must be a multiple of No, it will not tessellate. 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. You will need Square of paper, maybe 10 cm across Some more paper Good pair of scissors Sticky tape What to do Use the scissors to cut a shape out of one side of the…. Put the cut pieces on the opposite side. The shapes you have made cover a flat surface with no gaps. Any pattern that does this is called a tiling. This tiling is a very special type of tiling called a tessellation.

Make sure you stick the piece the same distance down the side. A tessellation is a tiling that repeats. If you take your tiling, and you move it across just the right amount, it matches exactly on top of itself. Mathematicians are especially interested in tessellating with regular shapes — those shapes where all the sides are equal and all the angles are the same.

There are only three regular shapes that tessellate — the square, the equilateral triangle, and the regular hexagon. All other regular shapes, like the regular pentagon and regular octagon, do not tessellate on their own.

However, if you use more than one shape there are a whole lot more tessellations that you can make. For instance, you can make a tessellation with squares and regular octagons used together.

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