Introducing o new column for APL Quote Quad: With J 101 Ways to Build a Sierpinski Triangle --by Cliff Reiter Department of Mathematics Lafayette College;Easton, Pennsylvania A T APL971 RANAWORKSHOPon creating images withJ. The first exercise involved creating a Sierpinski Triangle. Ken ~ Iverson commented that I seem to start everything I do with the Sierpinski Triangle as an example. I don't think that is true, but it does seem like a good idea. Thus, my first Quote Quad column on usingJ focuses on ways to create Sierpinski Triangles. Of course, this is really an excuse to discuss a bunch of J in a way that results in some interesting images. Many of these ideas may be familiar, but readers are encouraged to look for new points of view. You might note the usefulness of inverse functions, gerunds and extended integers and may even discover new uses of base- CliffReiter'sAPL97workshop three representations. Did you know you don't have to "build" Sierpinski's Triangle? You can decide the value of each pixel from the pixel coordinates. I will define what I mean by the Sierpinski Triangle by examples that approximate it. Purists will want to take some sort of limit
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101 ways to build a Sierpinski Triangle
Reiter, Cliff
Follow ACM SIGAPL APL Quote Quad
, Volume 27 (4)
Association for Computing Machinery – Jun 1, 1997
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