### Josh Laison

Math 130: Contemporary Mathematics

- Course Procedures

- Homework Assignments

- Math Puzzles Handout

- Web Links:
- Lockhart's Lament
- Die Hard Jug Puzzle
- The Online Encyclopedia of Integer Sequences
- Biography of Fibonacci
- The Fibonacci Association and Fibonacci Quarterly
- Vi Hart's videos on Fibonacci numbers, part 1,
part 2, and part 3.
- RSA
- Large prime numbers
from the Great Internet Mersenne Prime Search.
- The Prime Number Theorem chart and
graphs
- The Clay Millenium Problems
- Fermat's Last Theorem, part 1
- The marginal note
- Symmetries of a square
- Tilings
- Flatland
- Platonic solid duals
- Platonic solid inscribings
- MegaMenger
- Crystals
- Spherical cameras
- Unfolding a 4D cube
- Slicing a 4D cube
- 4D Rubik's cube
- The regular polychora
- Polychoron Patterns
- Proofs of Euler's formula
- The Four-Color Theorem
- The proof of the four color theorem
- A fractal generator.
- Another fractal generator.
- Fractal images: Koch snowflake,
Sierpinski triangle,
Barnsley's fern,
Menger sponge
- The Chaos Game
- Fractals in African designs
- Examples of Julia sets
- Movies of different Julia sets and zooming into a Julia set and again
- Mandelbrot set song
- Mandelbrot set and Julia set investigator, and some Mandelbrot movies, and
more movies.
- A Mandelbrot set zoom movie
- A 1-D Cellular Automaton Java applet.
- Wolfram's Rule 30
- Rule 30, 2000 generations
- Play the game of life
here,
here,
and here.
- The last link has some incredible examples of initial patterns, such as
this,
this,
this,
this,
this,
and this.
- Stephen Colbert on topology
- Mobius bands in biology,
industry,
knitting, ...
- A neat topology trick
- Minesweeper on a torus
- Torus and Klein bottle games
- Klein bottle video
- Cyclist on a Klein bottle video
- Projective plane video
- Buy a Klein bottle here, and impress people at parties.
- Check digits