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Volume 4, Number 38

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20 September 1999                                  Vol. 4, No. 38


Fibonacci Series - ThinkQuest 99 | Mathematics Exploration - Space Launches |
Artlandia THE FIBONACCI SERIES Anderson, Frazier, Popendorf; ThinkQuest 1999 A site for learning about the Fibonacci Series, including an introduction, the rabbit problem, Binet's formula, the successor formula (given only one term in the Fibonacci series, determine the term that directly follows it), binomial form, and the Fibonacci spiral. Also see how the Fibonacci Series relates to the golden ratio; learn about the lives of Fibonacci and other mathematicians (Edouard Lucas, Jacques Binet, Jordanus Nemorarius); and explore some applications of the series: - Fibonacci ratios - Binet revisited - one over eighty-nine: the decimal expansion of 1/89 - apartment buildings: why the number of combinations for each set of a certain group of apartment buildings is a Fibonacci number - nature A quiz is available for each of the four main sections of the site; an index organizes all of the site's Shockwave Flash demonstrations; and the authors also provide further reading and a bibliography. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- MATHEMATICS EXPLORATION I Capital Community-Technical College PDF files of ten exercises ranging in difficulty from pre-algebra to college calculus and differential equations, based on activities that occur routinely in project design and during space launches: 1) Spare Parts for the Space Shuttle 2) NASA Aquatics Lab 3) The Doppler Radar Wind Profiler: Vector Analysis of Wind Changes Affecting Shuttle Launch at The Kennedy Space Center 4) Just Say "No" to Cracks in the Space Shuttle 5) Toxic Waste Remediation at The Kennedy Space Center 6) Surviving in a Lunar Base Station 7) Houston, We Have a Problem! - Curve Fitting for the Spacelab 8) Space-Age Cleaning 9) Work Sampling at the Kennedy Space Center 10) Exploring NASA's Automated Window Inspection Device (AWID) Tables of contents display the exercises by math topic or by technology. Faculty notes and spinoff activities are included, and a link is provided for downloading Acrobat Reader, required to read the PDF files. The project is supported by NASA, the National Science Foundation, and the American Association of Mathematics for Two-Year Colleges (AMATYC). -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- ARTLANDIA - SOFTWARE FOR PROGRAMMABLE CREATIVE GRAPHIC DESIGN A Mathematica-based application for artistic interpretation of data and creating mathematical and algorithmic art. The software provides a selection of tools for constructing geometrical objects from numerical arrays, distributing geometric shapes over the plane, and making and manipulating lattices and wallpaper patterns, as well as performing graphics operations and transformations. Algorithms attempt to balance the perfectly predictable and symmetric with the creative and random. The site includes a graphics gallery and display of user-created art. Artlandia requires Mathematica 3.0 or higher and is available for all platforms that run Mathematica. The student version can be purchased at a discount; see also Artlandia'sinteractive program, Kaleidoscope. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- CHECK OUT OUR WEB SITE: The Math Forum Ask Dr. Math Problems of the Week Mathematics Library Teacher2Teacher Discussion Groups Join the Math Forum Send comments to the Math Forum Internet Newsletter editors _o \o_ __| \ / |__ o _ o/ \o/ __|- __/ \__/o \o | o/ o/__/ /\ /| | \ \ / \ / \ /o\ / \ / \ / | / \ / \

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