<%@LANGUAGE="JAVASCRIPT" CODEPAGE="CP_ACP"%> 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)

  1. A four-colored map of the United States (I just want you to look at the actual map - no reading needed.)
  2. An interactive game based on the four coloring theorem (kind of addictive!)
  3. 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

  1. The figurate numbers page that has triangular numbers, square number, hexagonal numbers, etc.

Topology:

  1. 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!).
  2. DNA and topology (what is the connection?)
  3. An interesting transcript of "The Science Show" about knot theory
  4. M.C. Esher's Mobius Strip (with the ants).
  5. 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!
  6. What would Escher do?
  7. A Mobius Battle

Number Theory:

  1. A webpage that gives an interactive sieve of Eratosthenes
  2. A webpage about the Hardy-Weinberg Equilibrium Model
  3. A detailed webpage about Hardy (note that all seven known photos of Hardy can be accessed by clicking the picture on the top right)
  4. Another webpage about Hardy
  5. The Great Internet Mersenne Prime Search webpage
  6. A poster you can order
  7. A list of all of the Mersenne primes found to date

Dimensionality:

  1. Flatland movie trailer
  2. Flatland^2 movie trailer
  3. Movies of a sphere going through Flatland (top) and of a hypersphere going through our dimension (bottom)
  4. 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.
  5. A webpage which allows you to see the eight different 3-faces (i.e cubes) in a hypercube
  6. Movies of the projection of a 3-cube (top), the shadows of a 3-cube (middle), and the shadows of a hypercube (bottom)
  7. Movies of the unfolding of a 3-cube (top) and a hypercube (bottom)
  8. Movies of a hypercube falling through Spaceland.
  9. Conic sections movie
  10. Salvadore Dali's Christus Hypercubus
  11. A webpage which shows different views of a pentatope
  12. A cool Flatland-like video game
  13. The formula for k-faces of an n-cube

Cryptography:

  1. The Sherlock Holmes Mystery: The Adventures of the Dancing Men
  2. The Gold Bug by Edgar Allen Poe
  3. Gadsby - a book without the letter "e"
  4. Steganography information
  5. From the Nova: Decoding Nazi Secrets webpage - very interactive and very interesting!
  6. The Bletchley Park webpage
  7. Alan Turing information
  8. A webpage devoted to the Navajo Code Talkers
  9. A good, basic cryptography webpage
  10. MagiQ technologies

Pretty Math Pictures:

  1. Picture one
  2. Picture two
  3. Picture three
  4. Picture four


 


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