A “Circle Limit III” Calculation
نویسنده
چکیده
M.C. Escher’s Circle Limit III is usually thought to be the most appealing of his four “Circle Limit” patterns. Two artistic/mathematical questions seem to arise: (1) what angle do the white backbone lines make with the bounding circle, and (2) are other such patterns of fish possible? H.S.M. Coxeter answered the first question and I described a 3-parameter family of possible fish patterns in my 2006 Bridges Conference paper. In this paper, I combine those questions by calculating the intersection angle for any such fish pattern.
منابع مشابه
A “Circle Limit III” Backbone Arc Formula
M.C. Escher considered Circle Limit III to be the most successful of his four “Circle Limit” patterns. Two artistic or mathematical questions have been raised: (1) what angle do the white backbone lines make with the bounding circle, and (2) are other such patterns of fish possible? H.S.M. Coxeter provided exact expressions to the answer the first question, and a 3-parameter family of possible ...
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