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The angles of a n-sided regular polygon have the measure of (n-2)*180/n degrees.
A regular octagon's angle has (8-2)*180/8 = 6*180/8 = 135 degrees.
If you stick together two sides of two different (but congruent) regular octagons you get one downward and one upward. We can say this without loss of generality because up and down are just perspective that you can change as you look around the construction.
So, at the left of the common side you have two angles around the vertexes. Both of the angles have 135 degrees (being angles of regular octagons). But there is a third angle. The sum of the measures of angles around a point is 360 degrees. So the third angle has 360-135-135 = 90 degrees. And the two sides that form the angle are congruent. ==> you construct a square.
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∙ 12y ago
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Can a octagon and a square tessellate together?
no
Does an octagon 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.
Can an octagon tessellate?
An octagon can be used to create a tessellation, but an octagon cannot tessellate on its own.
Can an octagon and square tessellate?
Yes - because, when you lay regular octagons together so they're touching, the space between the octagons is a perfect square.
Will a square and circle tessellate together?
No but a square will tessellate on its own.
Can a octagon and a square tessellate together?
no
Can the octagon tessellate?
No, but an octagon and a square can tessellate.
Does an octagon 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.
What Two regular polygons will combine to tessellate?
square and octagon
Can an octagon tessellate?
An octagon can be used to create a tessellation, but an octagon cannot tessellate on its own.
Can an octagon and square tessellate?
Yes - because, when you lay regular octagons together so they're touching, the space between the octagons is a perfect square.
Will a square and circle tessellate together?
No but a square will tessellate on its own.
Will an octagon tessellate?
A regular octagon will not tessellate but an irregular one can.
What regular figure can be used with a regular octagon to tessellate the plane?
Square.
Can you tessellate eight sided regular polygons by themselves?
No, they will not fit together, you will also need a square with sides equal in length to the sides of the octagon.
Can a regular octagon tessellate?
No, it can't be tessellate.
Can a octagon tessellate?
YES
