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!
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A regular one will not but I believe that there are tessellations with irregular septagons.
A regular heptagon will not tessellate but I believe that there are tessellations with irregular heptagons (or septagons as they are less commonly known).
No. Regular heptagons (seven sides) doesn't tessellate alone.
No.
Yes a quadrilateral will tessellate.
No, but an octagon and a square can tessellate.
heptagon