No. Regular heptagons (seven sides) doesn't tessellate alone.
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No.
No. Equilateral heptagons (7 sided figures) do not tessellate the plane. Not if no other polygons are allowed. But if you allow a (non-equilateral) pentagon then you might be able to tessellate the plane!
Yes a regular 6 sided hexagon will tessellate
Yes, hexagons will tessellate.
no