The sum a + b + c + d + e can be written as the reduction + / a, b, c, d, e. Moreover, the continued fractiona+b / c +d/e might lend itself a similarreduction, except thatitrequires the to two functions of addition and division. With J "A Palette Editor, Dad's First GUI" --by Cliff Reiter Department of Mathematics Lafayette College RAPHICAL USER INTERFACES (GUIs) have become a standard for programming. As a mathematician, I a m usually content with functional programming, but I have had a couple of near G U I experiences and admit thatgood G U I design can offcrsignificantproductivity gains and enhance creativityin some contexts. M y firstnear G U I cxpcriencc was to update the J based G U I developed by a coauthor [1] in a release ofJ before the form editor was available, but that doesn't really count. Closer still,a couple of years ago I collaborated with m y two oldest sons on the paper " W o r d of Words from Iterated Function Systems" [4]. That work allows a user to enter a word into a form, scc Figure I, and the rcsult is a fractalcopy of the
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