Those changes might be or have to be defined as dependent on time or also on unknown external perturbations. Therefore seemingly macroscopic situations may underlie blurred influences to a much larger extent than often assumed leading to semi-permeability in various respects. Strict logic can only be applied to idealized lines. These areas are uncertain like in quantum mechanics or fuzzy like in modern mathematical logic and consequently could only be determined recursively, thus by approximation. The existence of more than two such neighboring areas cannot be excluded, but will not be taken into account by now.
The border area of two one-dimensional (1D) areas would strictly speaking only be a point on a line. However, taking into account the above deliberations, in life situations comprising nature and culture, there must exist a diffuse transition zone between the domains on both sides of the point.
The fringe area between two 2D areas must accordingly be a fuzzy stripe and between 3D areas just such a layer. As the number of dimensions increases, both the neighboring areas and the transition areas get an increasing number of properties and capabilities, which however cannot be discussed further here.
The outer fringe of a 3D area must have extreme importance. At first, it would make sense to assume that there is nothing “behind”, which on the other hand seems unacceptable. Because all above mentioned boundaries seen as fuzzy fringe areas must be semi-permeable, disturbances from the adjacent area cannot be excluded and have in principle to be expected.
However, generally the maximal number of dimensions in all above mentioned areas, also again including all forms of nature and culture, appears to be only four as it became increasingly clear in own considerations (see the text “four-dimensional” on the ARS-UNA.net website). The fourth dimension has been confirmed by Maxwell in convincing manner to be the time described as imaginary and thus decisively different from the other three. It can likely be represented by the dimension zero (0D) and could therefore be described by the initial point.
"Before" this point there can consistently be assumed the same kind of unknown external influential situation as "beyond" a 3D area. It therefore seems intuitively convincing to suppose a transition, or rather a transition area between the 3D and 0D areas, namely between the outside of spatial areas containing matter to the mentioned point that might appear to be incapable of capturing the 3D area at first glance.
Behind this seems to show up the perfectly acceptable cosmological assumption already expressed on this website that galaxies or maybe even the entire universe contract at the end of their "life" with a huge implosion (singularity), namely a gamma-ray burst (GRB), into a black hole, from which the “game” of “life” starts again. The gamma-ray would thus have to be taken as the fuzzy border area, better called fringe area, between a galaxy and a black hole.