Fall 2004
MT-A125 Seminar in Mathematics: Infinity, the Fourth Dimension, Primes and Chaos: Mathematical Thinking in the Real World
Web Links
Collected here are web links to pages related to topics we investigate during the semester.
Click and Clack posed a
"two glasses of water" puzzle
in May 2001; more puzzles from "Car Talk" in their
archive
(for Chapter 1).
Examples applying the
pigeon-hole principle
(some are to deeper mathematics), and
more examples
(for Section 2.1).
A wealth of information and activities about
Fibonacci Numbers and the Golden Ratio
(for Section 2.2)
A prime site for
prime numbers
(for Section 2.3)
A selection of sites about
Fermat's Last Theorem
as indexed at Yahoo (for Section 2.3)
Information about
unsolved prime problems
(for Section 2.3)
You, too, can use full-strength
public key codes
(for Section 2.5)
Alas, only a finite number of sites about infinity:
FAQ on large numbers
(at the Math Forum);
a version of the Hilbert (or Cardinality) Hotel story
(a page from the MegaMath project at the Los Alamos National Laboratory) (for Chapter 3).
A page on the
golden section in art and building
(for Section 4.3)
A page at the Geometry Junkyard about
tiling
- look at the picture at the bottom of the page! A page on
tilings related to our pinwheel tilings
(for Section 4.4)
Stretch out into the twilight zone with these sites on the fourth dimension:
Links to various fourth dimension resources
; the reading on Flatland,
"Flatland: A Romance of Many Dimensions"
by Edwin A. Abbott; the reading on a four-dimensional house
"... And He Built a Crooked House --"
by Robert A. Heinlein;
short movies illustrating fourth dimension principles
, used in a math course at Union College;
short movies illustrating hyperspace structures
, at Loughborough University in the U.K.;
a student paper on the fourth dimension and art
(with links to artwork, or see the
Gallery
page);
a whimsical piece of luggage
(for Section 4.7).
More twists on Möbius bands and Klein bottles:
Math That Makes You Go Wow
(student work for a multi-disciplinary course at Yale);
an animated crab swims in the surface of a Klein bottle
(see also the game site below);
Klein bottle + limericks
(part of a larger site on the fourth dimension);
games played on the surface of a torus or a Klein bottle
;
buy a Klein bottle
(or not?) (for Section 5.2).
To be or knot to be - an
exhibit of knots
(for Section 5.4).
Dead or alive? - sites catalogued at Yahoo for
Conway's Game of Life
- also for
online java examples
; one nice page is
www.math.com
's (for Section 6.2).
Among the chaos of fractal pages, these
applets by Bob Devaney
(at Boston University) are gems (for Section 6.3).
Back to WELCOME
Back to Fall 2004
Department of Mathematics and Computer Science
Saint Louis University
Last Modified: October 26, 2004
email webmaster: blythrd[at]slu[dot]edu