By Jurg Nievergelt

ISBN-10: 0134894286

ISBN-13: 9780134894287

In response to the authors' large educating of algorithms and information buildings, this article goals to teach a pattern of the highbrow calls for required by means of a working laptop or computer technology curriculum, and to give concerns and result of lasting worth, rules that might outlive the present iteration of pcs. pattern workouts, many with ideas, are incorporated during the publication.

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**Extra resources for Algorithms and Data Structures: With Applications to Graphics and Geometry**

**Sample text**

There are also formal notations and systems designed to support a style of programming that integrates text and code to form a package that is both readable for humans and executable by machines [Knu 83]. Whatever notation is used for literate programming, it has to describe all phases of a program's evolution, from idea to specification to algorithm to program. Details of a good program cannot be understood, or at least not appreciated, without an awareness of the grand design that guided the programmer.

The initial configuration, on the other hand, is quite arbitrary: If we had started with a regular hexagon rather than a single line segment, the pictures obtained would really have lived up to their name snowflake. Any other initial configuration still generates curves with the unmistakable pattern of snowflakes, as the reader is encouraged to verify. After having familiarized ourselves with the objects described, let us turn our attention to the method of description and raise three questions about the formality and executability of such notations.

The drawings above suggest that all peaks stick out on the same side of the curve, the outside. 2. Could our method of description be extended and formalized to serve as a programming language for fractals? Of course. As an example, the production shown in 36 Algorithms and Programs as Literature: Substance and Form Chap. 4 Fig. 4 specifies the side on which the peak is to point. Every segment now has a + side and a - side. The production above states that the new peak is to grow over the + side of the original segment and specifies the + sides and - sides of each of the four new segments.

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