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 9.0.4.
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:
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 →
He^{4} + 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 America has an inexhaustible power source,
and that we're
well into the 21^{st} century, Amtrak should be running
a high-speed
rail network.
Index
of Directories
Last updated February 2018.