In general no.
A regular hexagon has the same length on all sides. Also, there are other hexagons with the same length on all sides that are not regular.
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A regular hexagon is a polygon with six sides where all six angles have the same measurement. (And all six sides have the same length.) If the angles of a hexagon do not all have the same measurement, or if the sides are not all of the same length, then the hexagon is irregular.
In a "regular hexagon" all sides are equal. For an irregular hexagon there are six sides but they aren't all the same length.
A hexagon has all six sides in equal length and all angles in equal measure.
A six sided shape is called a hexagon.If all the sides have the same length and all the internal angles are the same it is a Regular hexagon.
Yes, a regular hexagon has ALL sides the same length and ALL angles equal. If you flatten it somewhat (like the profile of a lens) then the sides may still have the same length but some angles will be larger than others if opposite angles are the same than there will be symmetry. (there are many other options to retain symmetry in a hexagon this is but one)