regular hexagon
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Yes
Tessellation is using multiple copies of a shape, usually a polygon, to cover a plane without gaps or overlaps. Each copy of this single shape is a tessellating unit.
No a pentagon is a single polygonal shape, A tessellation is a scheme for covering a plane, without gaps of overlaps, using multiple copies of the same basic shape. These are usually polygons.
Yes
Tessellation comprising using multiple copies of a plane (2-dimensional) shape to fill a plane without gap or overlap.