Yes, you can tessellate six-sided polygons by themselves.
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True
The heptagon (7 sided polygon) cannot tessellate. The exterior angle of the heptagon is 51.43 degrees which makes the interior angle 128.57 degrees.
Most regular polygons will not - by themselves. In fact, of the regular polygons, only a triangle, square and hexagon will. No other regular polygon will create a regular tessellation.
True * * * * * No. The only regular polygons that will tessellate are a triangle, a square and a heagon. So a regular heptagon will not tessellate.
No, they will not fit together, you will also need a square with sides equal in length to the sides of the octagon.