23 February 1998 Vol. 3, No. 8
THE MATH FORUM INTERNET NEWS
Idaho Math Challenge | More Knot Theory |
Math Reference Sites
INTERNET MATH CHALLENGE - University of Idaho Math Department
http://www.uidaho.edu/LS/Math/imc/
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.
http://www.uidaho.edu/LS/Math/imc/p97-18.html
http://www.uidaho.edu/LS/Math/imc/lastweek.html
http://www.uidaho.edu/LS/Math/imc/past.html
The Internet Math Challenge page is maintained by
Mark J. Nielsen.
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More on knots...
THE KNOT THEORY HOME PAGE
http://tqd.advanced.org/12295/main.html
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
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MATH REFERENCE RESOURCES ON THE WEB
http://mathforum.org/~steve/steve/mathreference.select.html
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:
http://mathforum.org/~steve/steve/mathreference.html
http://mathforum.org/~steve/steve/mathreference.desc.html
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