Math Forum Internet News

Volume 3, Number 8

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23 February 1998                                   Vol. 3, No. 8

Idaho Math Challenge | More Knot Theory |
Math Reference Sites INTERNET MATH CHALLENGE - University of Idaho Math Department Example: COUNT TO ONE MILLION! "There are easier ways to solve this puzzle than to literally count to one million, but here's the goal: count how many six-digit numbers include a '2' digit but not a '3' digit." Any student up to grade 12 in a public or private school in the United States may submit a solution to a weekly challenge. A drawing to select a prize winner from among the names of all those who solved the puzzle correctly is held each week; the prize is a t-shirt advertising the student's superior math prowess. Links to the current puzzle, last week's solution, and an archive of past puzzles and solutions are provided. The Internet Math Challenge page is maintained by Mark J. Nielsen. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- More on knots... THE KNOT THEORY HOME PAGE A 1997 ThinkQuest entry by Jason Alonso, Stefan Nagey, and Andrei Garcia, students at the Severn School in Severna Park, Maryland. "Knot Theory is a branch of topology that deals with knots and links. In topology, a square is the same as a cube, and a doughnut is the same as a coffee cup. It does not deal with the rigid properties of objects, such as length and angles, but instead the properties that no amount of bending, twisting, stretching, or shrinking can change." This site offers a short course on knot theory, including tutorials on the basics, invariants, properties, and arithmetic; biographical information on historical and contemporary figures working with knot theory; applications of knots; a discussion forum; and a glossary of terms. Contents include: - Is There a Knot? The Reidemeister Moves Tricoloration Knots Exist - Knot Properties Crossing Number Bridge Number Unknotting Number Genus - Knot Arithmetic Simplification and Genus Tricolorability Bridge Number Polynomial Invariants -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- MATH REFERENCE RESOURCES ON THE WEB A Math Forum page of selected sites for finding calculators; looking up math terms, equations, and derivations; finding mathematical quotations; or doing unit conversions on the Web. If you don't find what you're looking for, try the Forum's outline and annotated lists: -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- CHECK OUT OUR WEB SITE: The Math Forum Ask Dr. Math Problems of the Week Internet Resources 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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