A concave polygon has at least one interior angle greater than 180 degrees.
A convex polygon has none of those.
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Any polygon that has an angle that is > 180º is a concave polygon. A convex polygon does not. e.g. All regular polygons are convex.
There are lots of different types of polygons Polygons are classified into various types based on the number of sides and measures of the angles.: Regular Polygons Irregular Polygons Concave Polygons Convex Polygons Trigons Quadrilateral Polygons Pentagon Polygons Hexagon Polygons Equilateral Polygons Equiangular Polygons
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.
There are regular polygons (with 3, 4 and 6 sides).There are irregular convex polygons (with 3, 4, 5 or 6 sides). There are [irregular] concave polygons with various numbers of sides.
The only regular polygons which will tessellate are those with 3, 4 or 6 sides. But all irregular triangles, all irregular quadrilaterals, 15 classes of irregular convex pentagons and 3 classes of irregular convex hexagons will tessellate. In addition, there are concave polygons with different numbers of sides which will also tessellate.