Repeating patterns have been used in art throughout history. In the middle of the 20th
century, the noted Dutch artist M.C. Escher was the first to create repeating hyperbolic
patterns that were artistic in nature. These patterns were very tedious to design and
draw. Escher did all this work by hand, without the benefit of a computer. This paper
discusses how, through the use of a computer program, the creation of repeating hyperbolic
patterns is accomplished in a less tedious, more timely manner.
The computer program enables a user to load or create a data file that defines the
sub-pattern and other information about the design. The program will take that information
and generate the repeating pattern for the user. The user is also able to modify
the pattern. The computer program allows the user to precisely and quickly create
repeating hyperbolic patterns which will be displayed on the screen. The repeating
hyperbolic pattern is also saved as a PostScript file.
University of Minnesota M.S. thesis. July 2012. Major:Computer science. Advisor:Dr. Douglas Dunham. 1 computer file (PDF); vi, 56 pages, appendices A-B.
Becker, Christopher D..
Creating repeating hyperbolic patterns based on regular tessellations..
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