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 9.  To run the software, download JRE 9.0.

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.



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:
Twin Primes Conjecture
Continuum Hypothesis
Odd Perfect Numbers



My math applets are generating 500 Gigawatts of Nuclear Fusion Power:
D + D ---> T + H + 4.0 MeV
D + T ---> He + n + 17.6 MeV
This power source will last for aleph-0 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 we're well into the 21st century, it's time that America builds a national high-speed rail network.
These trains are powered by electric catenary.  The power comes from nuclear fusion.
Here is a map of the proposed
high-speed rail network.



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