A regular triangle, quadrilateral (i.e., square) and hexagon may be used.
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A tessellation that uses more than one kind of regular polygon is called a semi-regular tessellation.
Semi-regular tessellation
More than one kind of regular polygon
It is a semi-regular tessellation.
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.