There is no such thing. A square is, by definition, a 'regular' shape.
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Any parallelogram, other than a square, is irregular.
Irregular
Every country looks like an irregular geometric shape.Every country looks like an irregular geometric shape.Every country looks like an irregular geometric shape.Every country looks like an irregular geometric shape.
A example of a quadrilateral is a square. A quadrilateral is a shape with 4 sides
To have no symmetry the four sides would all have different lengths, and each angle would also be different. The figure would not look like a square or a rectangle, but would instead be an irregular 4-sided polygon.