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
9.0.1.
The original version of my Towers of Chicago software won 5^{th}
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 DDT 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 21^{st} century,
it's time that Amtrak runs high-speed trains along its
network.
For example, the route from Chicago to St. Louis should be a
110 mph diesel train. This is reasonable since the
tracks
on that route have been upgraded to handle such speeds.
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