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 (1300x1000).
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 sequence variation.
puzzle software can be found at the following link:
of Chicago The software was
programmed using Java 20; from here, the JDK installer
(Windows 10 version) can be downloaded.
Run this batch file after installing
Java. Also, adjust the High DPI settings for the
located in the system folder. Here is the JDK documentation.
The original version of my
Towers of Chicago software won 5th prize in the
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
the mathematics behind Multipeg Towers of Chicago.
wrote software that solves problems in Boolean Logic:
enough, any statement in mathematics can be reduced to a
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
Automated Reasoning Project (Research Project #289).
It was used to
resolve some important hypotheses in
Twin Primes Conjecture
of Pi to the Pi
My math applets are generating 500 Gigawatts of D-D-T Fusion
The mass of neutrinos
has been verified to be exactly zero by Multipeg
Towers of Chicago.
(The 3D volume of neutrinos has been observed to
be smaller than that of photons,
hence, neutrinos, having the same fractal density
as photons and photons, known by
relativity to possess zero mass, therefore
neutrinos possess zero mass.)
the mass of the universe is
thought to consist of dark
Since neutrinos are massless, therefore dark
matter cannot be composed of neutrinos.
Perhaps the inertial field of space has mass, and
thus holds the universe together.
North America has an inexhaustible power source that can
be used to run high speed
Here is a map of the proposed High Speed Rail System; this
system shall be powered by nuclear fusion.
These trains, TGV or Maglev,
will run at 150 mph or greater,
and will cover all regions of the continent. The flagship line will be the
Lakeshore Express from Chicago to New York!
In order to
build a national high speed rail system, we need the U.S.
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;
electrification needs to proceed westward of the northeast
corridor for us to
compete with China. At least $1 trillion needs to be
appropriated in order to fund
the entire High Speed Acela System.
Here's a list of high priority
railroads to be electrified:
LincolnService—Chicago ―St. Louis ―Kansas
(2) Hiawatha—Chicago ―Milwaukee ―Minneapolis (TGV)
(3) Lake ShoreExpress— Chicago ―Cleveland ―New
Orleans ―Atlanta ―Charlotte
Fransisco to Los Angeles
(LGV) (6) Pacific Cascades— Seattle to