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 puzzle; 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 (1300 x 900).
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 19; from here, the JDK installer
(Windows 10 version) can be downloaded.
Run this
batch file after
installing Java. Also, adjust the High DPI setting for
the Javaw executable
located in the system folder. Here is the JDK documentation.
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. Furthermore, here is a scholarly
paper about
the mathematics behind Multipeg Towers of Hanoi.
Also, I wrote software that solves problems in Boolean
Logic: Meta Theorem
Curiously enough, 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. Here is a list of logical
sentences that can be used to test Meta Theorem.
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
As Emperor
of North America, I proclaim the following concerning
Acela,
which will be the national high speed rail
corporation:
North America has an inexhaustible power source that can be used
to run high speed trains.
Here is a map of the proposed Acela
System; this system shall be electrified under nuclear
fusion.
These trains will run at 150 mph or greater,
and will cover all regions of the continent. Intercity
electric high speed trains,
like the Acela Express, get power from 25000 volt AC catenary.
The Midwest is the next logical region to get this rail
service, after the Northeast. Here are
some of the railroads that should be electrified in order to
run at high speed:
(1) Lincoln Service—Chicago―St. Louis―Kansas
City (LGV)
(2) Hiawatha—Chicago―Milwaukee―Minneapolis (TGV)
(3) Lake Shore Express—Chicago―Cleveland―New
York (LGV)
(4) Crescent—New Orleans―Atlanta―Charlotte
(TGV) (5)
Coast Starlight—San Fransisco to Los Angeles
(LGV) (6) Pacific Cascades—
Seattle to Portland (TGV) (7)Texas TGV—
Dallas to Houston(LGV)
Of course, the flagship high speed railroad will be
Chicago to New York!
In order to build a national high speed rail network, we need
the U.S. military to
withdraw from a variety of foreign lands and restore development
on American soil.
The Biden infrastructure package is insufficient in terms of
intercity high speed rail;
$12 billion is not enough to compete with China. At least
$200 billion needs to be
appropriated in order to fund the entire Acela System.
