Gujar, U., G.Bhavsar, V., C.Vangala, N.2023-03-012023-03-011990https://unbscholar.lib.unb.ca/handle/1882/14791The transformation function z <- z[superscript a] + c is used for generating fractal images in the complex z-plane. When a is a positive integer the fractal image has a lobular structure with a major lobes. When a is a negative integer the image has a planetary configuration consisting of a central planet with | a | major satellite structures. For non-integer values of a, additional embryonic lobular/satellite structures, proportional in size to the fractional part of a, are observed. Based on the extensive experimentation, six conjectures regarding the number of major as well as embryonic lobular/satellite structures, their positions and angular spaces are formulated.http://purl.org/coar/access_right/c_abf2technical reportComputer Science