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Newsletter: Math Forum Internet News No. 5.35 (28 Aug 2000)
Posted:
Aug 25, 2000 9:47 AM
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28 August 2000 Vol. 5, No. 35
THE MATH FORUM INTERNET NEWS
Read This! - MAA Online | Let's Graph! - Lanius BitArt, Spirolateral Series - Krawczyk
READ THIS! MAA Online Book Review Column Mathematical Association of America
http://www.maa.org/reviews/reviews.html
Online reviews of new and current books of interest to mathematicians, including such books as The Wild Numbers, The Advent of the Algorithm, Contemporary Issues in Mathematics Education, Reading the Principia, An Introduction to the Mathematical Theory of Waves, The Importance of Being Fuzzy, and many more.
MAA Online has been publishing book reviews in the Read This! column since 1996. Use the index to all book reviews online so far to find older reviews by author, by title, by topic, and by reviewer:
http://www.maa.org/reviews/reviews_index.html
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LET'S GRAPH! - Cynthia Lanius
http://math.rice.edu/~lanius/Lessons/graph.html
Canga Rue Middle School conducted a survey of all its students to determine some of their interests. A graph illustrates the results of one of the questions. From the information provided, answer the following questions:
- How many students are at Canga Rue? - What fraction prefer either pizza or hamburgers?
An interactive investigation of graphing, showing both horizontal and vertical bar graphs. Students may adjust the values on the graphs for favorite pastimes, or they may design and administer a survey on a question that interests them, enter the data, and make a bar graph using this page.
From Cynthia Lanius' math lessons, which feature subjects as diverse as infinite series, fractals, cartography, dueling pinwheels, a hot tub (interpreting graphs), and more:
http://math.rice.edu/~lanius/Lessons/
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BITART - SPIROLATERAL SERIES - Krawczyk
http://home.netcom.com/~bitart/
Click on a spirolateral in one of these galleries to display a full-size version, see a self-running demonstration of a variety of spirolaterals, or generate one of your own and see all the reversals.
"The Art of Spirolateral Reversals," a paper by Robert J. Krawczyk (available in PDF format), "continues an investigation into spirolaterals as geometry to generate artistic forms of unexpected complexity and beauty... with two-dimensional representations of spirolaterals and forms based on reversals of turns. Using mathematical and computer-based methods, issues of closure, variation, enumeration, and predictability are discussed. The overriding interest is to develop methods and procedures to investigate geometry for the purpose of inspiration for new architectural and sculptural forms."
http://www.iit.edu/~krawczyk/isama00.pdf
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The Math Forum ** 28 August 2000
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