hexagon
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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.
Hexagons
Regular polygons with 3, 4 or 6 sides.
Quadrilaterals are polygons with four sides. Triangles are polygons with three sides.
Regular polygons with even sides if there are 6 or more of them; selected irregular polygons with seven or more odd numbers of sides.