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Links for 125 Fall 2011
Webpage Links for MATH 125
The following is a list of webpage links for use in class:
Four Coloring
Theorem (Wednesday August 24)
- A four-colored map
of the United States (I just want you to look at the actual map - no reading
needed.)
- An interactive
game based on the four coloring theorem (kind of addictive!)
- Martin Gardner's four-coloring
"hoax". A.K.A. Can you color this map using four colors? (Answer:
Yes! :-)) If you want, I will send you the link to the solution!
Figurate Numbers
- The figurate
numbers page that has triangular numbers, square number, hexagonal numbers,
etc.
Topology:
- One way to deform
a Coffee cup into a doughnut. (Look on the right side of the page.) Here is another (this one using claymation!).
- DNA and
topology (what is the connection?)
- An interesting
transcript of "The Science Show" about knot theory
- M.C. Esher's Mobius
Strip (with the ants).
- A view of a Klein
Bottle (see especially the first picture on the top right - it shows why the
Klein bottle cannot be built in three dimensions). Here is the Acme
Klein bottle - available for purchase!
- What would Escher do?
- A Mobius Battle
Number Theory:
- A webpage that gives an interactive sieve of Eratosthenes
- A webpage about the Hardy-Weinberg
Equilibrium Model
- A detailed webpage about Hardy (note that all seven known photos of Hardy can be accessed by clicking
the picture on the top right)
- Another webpage about Hardy
- The Great Internet Mersenne Prime Search webpage
- A poster you can order
- A list of
all of the Mersenne primes found to date
Dimensionality:
- Flatland movie trailer
- Flatland^2 movie trailer
- Movies of a sphere going through Flatland (top) and of a hypersphere going through
our dimension (bottom)
- Movies of a cube going through Flatland. Note: the inhabitants of Flatland would
see different things, depending on whether the cube passes through face first,
edge first, or corner first.
- A webpage which allows you to see the eight different 3-faces (i.e cubes) in a hypercube
- Movies of the projection of a 3-cube (top), the shadows of a 3-cube (middle), and
the shadows of a hypercube (bottom)
- Movies of the unfolding of a 3-cube (top) and a hypercube (bottom)
- Movies of a hypercube falling through Spaceland.
- Conic sections movie
- Salvadore Dali's Christus
Hypercubus
- A webpage which
shows different views of a pentatope
- A cool Flatland-like video game
- The formula for k-faces of an n-cube
Cryptography:
- The Sherlock Holmes Mystery: The
Adventures of the Dancing Men
- The
Gold Bug by Edgar Allen Poe
- Gadsby - a book without the letter "e"
- Steganography information
- From the Nova: Decoding Nazi Secrets webpage - very interactive and very interesting!
- The Bletchley Park webpage
- Alan Turing information
- A webpage devoted to the Navajo Code Talkers
- A good, basic cryptography webpage
- MagiQ technologies
Pretty Math Pictures:
- Picture one
- Picture two
- Picture three
- Picture four
Contact Me!
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