No. A non-convex polygon must have at least one reflex angle (between 180 and 360 degrees). But by equiangularity, all the angles of the polygon would have to be reflex. On a plane surface this is not possible.
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A regular heptagon is a polygon with seven equilateral sides. The shape must also be equiangular and convex.
Regular polygon is equilateral and equiangular. Irregular polygon is non-equilateral and non-equiangular.
The terms equiangular means a polygon having the same angle between any two adjacent sides. Equilateral means all sides of equal length. A polygon can be equilateral without being equiangular (the rhombus) and equiangular without being equilateral (the rectangle). If a polygon is both equilateral and equiangular, it is a "regular polygon" such as the pentagon, square, and equilateral triangle.
Any polygon that's equilateral must be equiangular.
Yes, by definition. If it not equilateral AND equiangular, then it is not regular.