RECURSIVE SECTIONING AND FILLING OF 2D AND 3D COMPUTER MODELS
A Computer Analogy to J L Borges' Garden of Forking Paths
The models shown in these pages are recursive binary divisions of geometric 2D and 3D computer models. After each sectioning the parts are united by segments (2D) or rectangles (3D) running from the middle of one section to the middle of the other. Although often likened to fractals, we imagined the process that generates these models long before Benoit Mendelbrot presented his masterly work. See Recursive Patterns or the Garden of Forking Paths (1982). LEONARDO, Journal of Art and Technology, 15, 177-182 by Albert H J Christensen. In reality, if the thickness of the joining elements decreases with the subdivision level, the process could also be seen as the space filling of the 2D or 3D model.
In these pages we show the divisions and fillings that develop on surfaces and in space: a
circles on a sphere, a
pentagon and a
truncated pentagonal pyramid.
These views are submitted as nothing more
than curiosities or fantasies, in so far as
no practical applications have been found
for the software that generated them.