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'm 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 (1250  x  850).

The Towers of Chicago uses a dynamic algorithm to compute the optimal partition numbers,
and then a recursive algorithm to compute the moves.  This program 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 13; from here, the JDK installer can be downloaded.  Run this batch file
after installing Java.  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 developed at Argonne National Laboratory under the
Automated Reasoning research project.  It was used to resolve 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.

A supertower is an office building taller than 1000 ft.
At present, Chicago has 5 of them:
Sears Tower (1450 ft), Trump Tower (1300 ft),
Vista Tower (1200 ft), Aon Center (1150 ft),
Hancock Building (1125 ft).

Due to competition with New York and Shanghai,
I propose the construction of a 6th supertower
to be located in the Loop at 7 S. Dearborn:
It shall be called the ;
It shall be 1600 ft tall, from ground to roof;
It will be made of shiny blue titanium.
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 150 mph or greater, and will cover all regions of the country.
Electric high speed trains, like the Acela, get power from 25000 volt AC catenary.
The Midwest is the next logical region of the country to get this rail service, after the
Northeast.  For example, the following routes should be electrified:
(1)  Lincoln Service  ―  Chicago to St. Louis
(2)  Great Northern  ―  Chicago  ―  Milwaukee  ―  Minneapolis
(3)  Lake Shore Express  ―  Chicago to Cleveland

Chicago Theme Song

 Video Game Music

Index of Directories
   

Last updated September 2020.