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It is possible to tessellate a plane with squares, triangles, and hexagons. To tessellate something means to cover it with repeated use of a single shape, without gaps or overlapping.
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Will every quadrilateral will tessellate the plane?
no * * * * * Actually, the answer is YES.
Will every quadrilateral tessellate on a plane?
Yes. See: http://euler.slu.edu/escher/index.php/Tessellations_by_Polygons#Tessellations_by_Quadrilaterals
Does a diamond tessellate?
yes... this figure does tessellate
Do octagons tessellate?
No it does not tessellate you have to pentagons in order for it to tessellate. * * * * * It is not at all clear what "have to pentagons" has to do with this. No polygon with 7 or more sides will tessellate. Octagons will tessellate if mixed with squares but that is not "proper" tessellation since it involved more than one shape.
What shape can't you tessellate?
A regular pentagon will not tessellate.
Every quadrilateral will tessellate the plane?
every quadrilateral will tessellate the plane? true or false
Is it possible to make a tesselation with a regular octagon?
No. To tessellate a plane you would also need squares.
Will all convex quadrangles tessellate?
Yes, they will all tessellate an infinite plane.
Can a regular octagon tessellate the plane by itself?
No
Is it possible to tessellate a plane by using any single type of regular polygon?
No because a regular polygon will only tessellate if its interior angle is a factor of 360 degrees. For example an equilateral triangle will tessellate because its interior angle is 60 degrees which is a factor of 360 degrees.
What shapes do not tessellate a plane?
circles and octagon do not tessellate as they overlap each other or leave spaces between them.
Will every quadrilateral will tessellate the plane?
no * * * * * Actually, the answer is YES.
Can you tesselate a decagon?
There are decagonal shapes which will tessellate the plane.
Why will an equilateral triangle always tessellate a plane?
Yes
Will a regular octagon tessellate a plane with no overlaps or gaps?
No.
Can a regular heptagon tessellate a plane with no overlaps or gaps?
No.
Can a pentagon be tessellate a plane with no overlaps or gaps?
No not normally
