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14 December 1998 Vol. 3, No. 50 THE MATH FORUM INTERNET NEWS Fibonacci & Golden Section - Knott | Geometry in Motion | Dragonfly FIBONACCI NUMBERS AND THE GOLDEN SECTION - Ron Knott http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html All about the Fibonacci series and the Golden Section, written for students and teachers at a variety of levels, with a brief biography of Fibonacci, the numerical properties of the series, and ways it is manifested in nature. The Fibonacci numbers are closely related to the golden ratio, also known as the golden mean, golden number, or the golden section; and the golden string (Fibonacci Rabbit Sequence). Ron Knott's pages include: - The Fibonacci Numbers and the Golden Section in Nature - The Mathematical World of Fibonacci and Phi - The Golden String - Fibonacci Puzzles (easier and harder) - Fibonacci - the Man and His Times - More Applications of Fibonacci Numbers and Phi: The Golden Section In Art, Architecture and Music Fibonacci Bases and Other Ways of Representing Integers The Fibonacci Numbers in a Formula for Pi Fibonacci Forgeries The Lucas Numbers Ron also provides a list of links and references for still more information: http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibrefs.html -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- GEOMETRY IN MOTION - Daniel Scher http://members.xoom.com/dpscher/ This site offers direct interaction with geometric diagrams, using JavaSketchpad applets to illustrate and explore a range of mathematical applications. Contents include: A variety of curve-drawing devices: - Bent Straw - Limacon - Concentric Circles - Pantograph of Sylvester - Congruent Triangles - Sliding Triangle - Expanding Circle - Taut String - Falling Ladder - Van Schooten's Ellipse - Folded Circle - Van Schooten's Hyperbola - Hanging String - Van Schooten's Parabola - Intersecting Circles Other activities: - Constant Perimeter and Area Rectangles - The Burning Tent Problem - A Quadrilateral Puzzler - An Even Split - Maximizing Area - A Tangent Teaser - A Vector Approach to Simultaneous Equations Copies of Scher's articles, which can be read in PDF format: - Lifting the Curtain: The Evolution of the Geometer's Sketchpad - Demystifying e^i(pi) - Dynamic Geometry Visualizations in Linear Algebra - Problem Solving and Proof in the Age of Dynamic Geometry - A Triangle Divided: Investigating Equal Areas - The Building on Strengths Colloquium Scher's book for grades 10-12, |

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