The parameter 𝑚 divides the plane into 𝑚 sectors, defining superellipses for 𝑚 = 4 (and supercircles for 𝐴 = 𝐵). For 𝑚 = 2, the plane is divided into two parts of 180°, for bilateral symmetrical shapes. For 𝑚 = 1, one side is more pointed, like a teardrop. Pentagonal shapes are determined for 𝑚 = 5 relating five sectors of 72°. (Figure ). The symmetry parameter 𝑚 can be any real number. If it is an integer, the shape closes in one turn (for 𝐴 = 𝐵), and if 𝑚 is a rational number, the numerator determines the number of angles For example 𝑚 = 5/2 also gives five sectors, but with a spacing of 144°, giving the symmetry of the pentagram. Self-intersecting shapes result when 𝑚 is rational or irrational (see Figure below). True polygons are defined by Equation 33 of reference and for close approximations, see Reference .