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Why is it impossible to tessellate a plane with two regular dodecagons and one octagon?
Wiki User
∙ 10y ago
An interior angle of a dodecagon is 150 degrees.
An interior angle of an octagon is 135 degrees.
So the angles of 2 dodecagons and 1 octagon would sum to 435 degrees.
A point in the plane has 360 degrees around it. Angles that sum to 435 degrees would, therefore, result in overlap.
Wiki User
∙ 10y ago
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Will a regular octagon tessellate?
Yes, it will.
Does an octagon tesslate?
A regular octagon will not tessellate but an irregular one will.
Can an octagon be tiled?
A regular octagon will not tessellate but an irregular one can.
Can a regular octagon tessellate the plane by itself?
No
What regular figure can be used with a regular octagon to tessellate the plane?
Square.
Will an octagon tessellate?
A regular octagon will not tessellate but an irregular one can.
Can an octagon tessellate?
An octagon can be used to create a tessellation, but an octagon cannot tessellate on its own.
Can a regular octagon tessellate?
No, it can't be tessellate.
Will a regular octagon tessellate?
Yes, it will.
Can an octagon be tessellated?
A regular octagon will not tessellate but an irregular one can.
Does an octagon tesslate?
A regular octagon will not tessellate but an irregular one will.
Can an octagon be tiled?
A regular octagon will not tessellate but an irregular one can.
Does a octagon tile the plane?
A regular octagon will not tessellate but an irregular one can.
Can a regular octagon tessellate the plane by itself?
No
Will a regular octagon tessellate a plane with no overlaps or gaps?
No.
CAn You cannot tessellate eight sided regular polygons?
A regular octagon will not tessellate - the 'spaces' left over are squares.
What regular figure can be used with a regular octagon to tessellate the plane?
Square.
