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Irregular means it's not regular.
regular polygon mean equal sides, equal angles irregular polygon mean it is not equal :)
Regular shapes are both equilateral and equiangular. Irregular shapes may or may not be equilateral and equiangular.
The answer depends on what you mean by size: its area (more likely) or perimeter. In either case, the answer depends on what information you have about the hexagon: whether it is regular, irregular but convex, or concave.
Irregular period is the same as a period. Irregular just means no set pattern, for example your period might come 1 week after you finished your first one or it might come after 3months or so.