- Flatland reading questions
-
Full text versions of Flatland by E. A. Abbot are
available on line, but buy the book for $1.
- a version that is essentially a photograph of the book
- an html version, each section on a different web page
- another html version
-
Tom Banchoff
(Brown University) is an expert on both 4-dimensional
graphics and the book Flatland. Here are some things he has put together
about it
- Math
Spans all Dimension is an interactive poster with links to many
other things, including
- a Flatland web site
- Math Shapes: Rotating 2-space, 3-space, or 4-space
- He wrote an article about the social satire in Flatland.
- Math
Spans all Dimension is an interactive poster with links to many
other things, including
- An article Holly Durden found about the fourth dimension in art and literature.
-
Platonic Solids in 4D (polytopes)
- Some info on Platonic solids in 4D (has stuff on lower and higher dimensions, too) with more links
- Michael Gibbs has written a 4D polytope viewer. This is a Java applet to view and rotate 4D objects. You can even view them with your 3D glasses! -- Use "cross-eyed" and "red/blue" settings if blue is the left eyepiece.)
- Some Art
-
Crucifixion, Corpus Hypercubicus by Dali
- A Long Division Script I am writing. (Let me know if you discover bugs.)
- Another Long Division Script
- Secret Codes Handout (Note: This is the revised and expanded version with solutions that was handed out on Feb 23.)
- Sieve of Eratosthenes Handout
- Lockers Problem Handout
- Print Prime Numbers. This page uses a sieve to find all prime numbers in a given range.
- Lists of Primes. Another page that will make a list of prime numbers for you. (Presumably a computer is using some sort of sieve to find them.) This one has a smaller size it can handle than the one above has.
- The Prime Pages. Lots of stuff about primes, more lists.
- The Prime Machine.
This problem was made famous by a serious of articles run in the Ask Marilyn column. Here are some demos of the problem:
- This is one of several games available from the CUWU Statistics Program.
- The Let's Make a Deal version done by Webster West includes an explanation.
-
The
MSTE Monty's Dilemma page adds an extra twist: you may keep you
original choice, switch, or flip a coin to decide.
This applet also allows you to select one of the three strategies and
run it repeatedly and tabulate the results.
- Links for the 3n+1 Problem
- A Worksheet to introduce you to the problem
- Generate 3n+1 sequences on the web (in several bases)
- On the 3x+1 Problem by Eric Rosendaal