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No.
The total of the interior angles of a polygon is given by:
total_of_interior_angles = 180° × (number_of_sides -2)
A regular polygon has every interior angle the same, and the size of each angle is given by:
size_of_interior_angle = total_of_interior_angles / number_of_sides
→ size_of_interior_angle = 180° × (number_of_sides -2) / number_of_sides
But as number_of_sides - 2 is (always) less than number_of_sides, (number_of_sides -2) / number_of_sides is less than 1 and so the size_of_interior_angle is less than 180°.
To be a concave polygon, at least one interior angle must be greater than 180°.
But as a regular polygon has all interior angles less than 180°, no regular polygon can be concave.
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A square is an example of a quadrilateral that is both a regular concave polygon and a regular convex polygon?
No. There can be no regular concave polygon.
Is a concave polygon a regular polygon?
No, a concave polygon cannot be a regular polygon.
What are the similarities between regular polygon and a concave polygon?
A regular polygon is a special kind of convex polygon - one in which all the sides are of the same length and all the angles are equal. Convex and concave polygons form disjoint sets: so no concave polygon can be regular.
Can a concave figure be a regular polygon?
No.
Can a concave qudrilateral be a regular polygon?
no
