• Fractals and Chaos Game (6.3)
• Koch curve and Sierpinski's Carpet (text's applet)
• Barnsley's Fern and fractal garden (text's applet)
• Fractals in the arts
• Fractal antennas(more) (fractal antenna company)
• African fractals
• Chaos Game (Target Practice)
• Chaos Game applet
• Chaos Game (text's applet)
• John Conway's Game of Life (6.2)
• Applet from Book's website (also on your CD)
• Game of Life at www.math.com
• Article in Scientific American by Gardner Article in Scientific American by Gardner
• Alan Hensel's fast, powerful life applet with many complex starting patterns
• Alan Hensel's life applet can also be found here
• Euler Characteristic (5.3)
  • Applet from book's CD
  • Polyhedral Torus you can rotate, made from regular polygons
• Möbius band and Klein bottle (5.2)
  • Möbius band
    • Möbius bands and recycling
    • Lego mobius bands
    • Biography of Möbius
  • Klein bottles
    • Klein bottle you can rotate (Mathworld)
    • Pictures of Klein bottle
    • Klein bottle image (John Sullivan)
    • Another good picture of a Klein bottle
    • Movies of Klein bottle (various formats)
    • Large Klein bottle(from movie)
    • Klein bottle with grid
    • Klein bottle in 4D space (Banchoff)
    • Lego Klein bottles
    • Klein bottle products
    • Torus and Klein Bottle Games
• Sculpture inspired by topologically interesting surfaces
  • Brent Collins
  • Helaman Ferguson
  • Carlo Séquin's links to similar artists
• Rubber Sheet Geometry (5.1)
  • Turn an inner tube inside out
  (Topological Dressmaker by Ian Stewart)
  • Perplexing Pencil Puzzle
  • Topological Puzzles (including tangled hearts)
• Power Set, Paradoxes (3.4)
  • Power Set
  • Kurt Gödel
  • Gödel's Incompleteness Theorem
  • Bertrand Russell
  • Russell's Paradox
  • Barber's Paradox
• Power of 10 day
• Infinity (3.2, 3.3)
  • Biography of Cantor
  • Infinity at the History of Math Archive
  • Story of the Hotel Ad Infinitum
  • Hotel Infinity
  • More about Infinity
  • Infinity(online course by Jason Howald)
• Clock Arithmetic and Check Digits (2.4)
  • How UPC bar codes work.
  • Check Digit Calculator
  • Clock Arithmetic (applets)
  • Practice Clock Arithmetic (with answers) (More)
  • Credit Card Validation
  • Verify check digits of UPC and ISBN codes (select Applet 10 in Chapter 8)
• Prime numbers (2.3)
  • The Prime Pages
  • Largest Known Primes
  (largest prime)
  • Eratosthenes Prime Number Sieve (java applet)
  • Eratosthenes (history)
  • Prime numbers (history)
  • Prime Number Spiral
  • Google's Prime Number page
  • Visualizing the distribution of prime numbers
  • Aesthetics of Prime Numbers
  • Find a large prime, win money
• Fibonacci Numbers (2.2)
  • Fibonacci's Rabbits
  • Fibonacci numbers and the golden section home page
    • Fibonacci numbers and nature
    • Golden Ratio in nature
    • Who was Fibonacci
  • Fibonacci bio at St. Andrew's history of math archive
  • Fibonacci numbers in nature (with animations)
  • Fibonacci Nim (java applet)
• Pigeon Hole Principle (2.1)
  • World Population Clock
• 4th Dimension and beyond (4.7)
  • Fabulous information and animations for thinking about the 4th dimension (David Cervone)
  • Dimensionality (includes some history)
  • Essays on dimension (MAA, Math Awareness 2000)
  • Fourth dimesion links (well maintained)
  • Some ideas about the fourth dimension
  • Ask Dr. Math (what is the 4th dimension, does it really exist?)
  • Hypercubes
    • Visualization of 4D hypercube (applet)
    • Stereoscopic animated hypercube (view this one with 3D glasses)
    • Visualizing rotating a hypercube
    • Two interactive hypercubes
    • Another hypercube applet
    • Eight cubes in a hypercube
    • Hyperspace structures
  • Platonic solids in the fourth dimension
  • Signifying Nothing: The Fourth Dimension in Modernist Art and Literature
  • Spirits, Art, and the Fourth Dimension
  • Fourth Dimension in Literature
    • Flatland: a satirical literary work (describes other dimensions through analogy)
    • About Abbot and Flatland
    • Madeleine L'Engle
    • and he built a crooked house by Robert Heinlein (science fiction short story with 4 dimensional cubes)
• Platonic Solids (4.5)
  • Java applet on text's CD
  • Platonic Solids (java applets)
  • Platonic Solids (why are there only 5)
  • Another Platonic Solids (why are there only 5)
  • About Plato
  • Make your own dodecahedron desk calendar
  • Models related to the Platonic Solids that Prof. Nichols has built.
  • George Hart's Site, containing lots of pictures, history, activities, and links related to Polyhedra in general.
  • Birth of Freedom by Paul Granlund
• Golden Rectangles (4.3)
  • applet from text's CD
  • Golden rectangles (Curtis McMullen, Harvard)
  • Golden Section in Art and Architecture(slides from student presentation?)
  • Golden ratio in art and architecture
  (Cut-the-Knot)
  • Human beauty and the golden ratio
  • The golden ratio everywhere (EKGs, teeth, nature, art, architecture, handwriting ?)
  • Controversy surrounding the golden ratio
  • Misconceptions About The Golden Ratio (George Markovsky) (pdf)
  • Review of psychological research
  • 5000 Digits of the Golden Ratio
• Pythagorean triples (4.1)
  • Generating Pythagorean triples
  • Generating Pythagorean triples(applet)
  • Ask Dr. Math
  • Table of triples
  • Table of triples (includes imprimatives)
• Pythagorean Theorem (4.1)
  • A story
  • About Pythagoras
  • Pythagorean theorem and baseball
  • Proof in book (animated)
  • Another proof
    • animated applet
    • applet
    • applet
  • Euclid's proof of the Pythagorean Theorem (java applet)
  • Thirty-nine proofs of the Pythagorean Theorem
  • More proofs of the Pythagorean Theorem
• Story 7. Let's Make a Deal (Ch. 1)
  • Stick or Switch simulation (java applet)
  • Another simulation
  • Another simulation which makes it easy to do 200 trials
  • More Monty
  • Monty Hall Problem (Stick or Switch) websites (some broken links)
• Why mathematicians care about hat color (this is related to the "dot problem" in Story 8)
• Math in the Movies (A problem similar to Story 3 is featured in a popular movie. Which one?)
• What is mathematics? (an article by R. Lewis, Fordham)
• Interactive explorations from text's CDROM
• Surfing the Book

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Last modified: 10/1/04