* Exploring the Limits
This series was stimulated by my seeing M.C. Escher's Circle Limit III at Boston's MFA at the time that I was creating kaleidoscopic iterations. I started researching into Escher's approach when I realized that his work went beyond a straight-forward kaleidoscopic rendition. My investigation uncovered a body of mathematical papers and discussion on the underlying non-Euclidian geometry which Escher employed.
The pieces in this series show my own exploration using non-Euclidian patterns developed with the underlying template of an array of Poincaré disks along the lines of Escher's Circle Limit series. My intent, however, is making interesting and appealing designs via transformations of the section of my photo which I have selected rather than being rigorously mathematical.
Click on a thumbnail to view the full-size, un-cropped image.