Towers of Chicago
Robert Swartz
robert@mathapplets.net


I am a mathematician and computer programmer from Chicago.  I have a BA in Mathematics from
Northeastern Illinois University, and I am also Sun Certified.  Since 2000, I've been working on the
Towers of Chicago; I programmed the multipeg version in Java.  The multipeg version involves 4 or
more pegs, as opposed to the usual 3.  These pegs are enumerated as follows:  the initial peg,
the final peg, and 2 or more auxiliary pegs.  This applet can display up to 50 discs by 10 pegs,
with the default window size.

My algorithm for solving this puzzle is recursive and dynamic.  This algorithm is an example of
Automated Reasoning, especially since it has a reverse feature.  The puzzle software can be
found at the following link:  Towers of Chicago.  The software was programmed using Java 12.

The original version of my Towers of Chicago software won 5th prize in the Quest for Java Contest.
  
  
   








   
Here are some screenshots, and here is an applet that calculates the number of moves in the
multipeg problem.  Here is another applet that calculates the number of top-level partition
numbers in the multipeg problem.

Also, I wrote software that solves problems in Boolean Logic:  Meta Theorem.
It turns out that any statement in mathematics can be reduced to a statement
of Boolean Logic.  My treatment of Boolean Logic includes 64 variables,
truth constants, 6 operations, and perfect syntax checking.

Meta Theorem was used to crack some important hypotheses in mathematics:
Continuum Hypothesis
Twin Primes Conjecture
Odd Perfect Numbers

My math applets are generating 500 Gigawatts of D-D-T Fusion Power:
D + D     →   T + H + 4.03 MeV
D + T   →   He4 + n + 17.6 MeV
  
This power source will last for 10 million years!

Here is the

and here is the imperial city skyline, Chicago, USA.
By the way, it's really called the Sears Tower.
This is the new symbol of Christendom.

As Emperor of North America, I proclaim the following concerning Amtrak:

The United States has an inexhaustible power source (D-D-T Fusion) which can be
used to run high speed trains.  Here is a map of the proposed high speed rail network.
These trains will run at 200mph and will cover all regions of the country.
The locomotives will get power from AC catenary, as the Acela Express currently does.
The first routes to be electrified include:
1)  Lincoln Service --- Chicago to St. Louis
2)  Hiawatha Extended --- Chicago - Milwaukee - St. Paul
3)  Lake Shore Express --- Chicago to New York

Video Game Music

Index of Directories
   
Last updated July 2019.