Spring 2005
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).
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Department of Mathematics and Computer Science
Saint Louis University
Last Modified: April 6, 2005
email webmaster: blythrd[at]slu[dot]edu