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 10.  To run the software, download JRE 10.

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 Federation battle song




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



Considering that the United States has an inexhaustible power source, and that
we're well into the 21st century, Amtrak should be running electric trains at 200 mph.

Here is a map of the proposed rail network.

As Emperor of North America, I order the United States and Canada to start
building this network as of July 2018.  Note that since the imperial city, Chicago,
has 4 supertowers, the rail network won't have to be subdivided into corridors.



Video Game Music

Index of Directories


Last updated July 2018.