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 500 discs x 50 pegs.
The applet is best viewed with a title bar color of RGB:
(40, 130, 180).
The Towers of Chicago uses a dynamic
algorithm to calculate the optimal partition values, and
then a recursive algorithm to compute the moves. The
program features sequence
variation
through successive randomization. The
Towers of Chicago is
an example of
Automated Reasoning.
The puzzle
software can be found at the following link:
The software was
programmed using Java 25; from here,
the JDK
Installer (Windows version) can be downloaded.
Run this batch file after installing
Java. Also, adjust the High DPI settings 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 equivalent
top-level partition values in the multipeg problem.
Furthermore, here is a scholarly
paper
about the mathematics behind Multipeg Towers of
Chicago.
Also, I wrote software that solves
problems in Boolean Logic:
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. The
program features a postfix form
polynomial time speed boost in this exponential time
problem.
Here is a list oflogical
sentences that can be used to test Meta Theorem.
Meta Theorem was developed at Argonne
National Laboratory under the
Automated Reasoning Project (Research Project #289).
It was used to
resolve some important hypotheses in
mathematics:
Continuum Hypothesis
Twin Primes Conjecture
Rationality of Pi to
the Pi
Meta
Theorem has also been used to design UV
Disinfection units at a number of
U.S. sewage treatment plants.
My math applets are generating 500
Gigawatts of D-D-T Fusion Power:
The 4 countries that run D-D-T
Fusion are America, Canada, Japan, and Haiti.
Thanks to the 9th peg, Artemis
II successfully
made
it around the Moon and back.
The next space mission that uses AR
technology shall be ion rockets that can
travel above the galactic plane.
The mass
of neutrinos has been verified to be 0 by Multipeg
Towers of Chicago.
The 3D volume of solar neutrinos has been observed
to be10 times smaller than
that of visible light photons; according to the
ancient neutrino-photon graph,
at this factor, the neutrino mass is
insignificant.
85% of
the mass of the universe is
thought to consist of dark
matter.
Since neutrinos are massless, therefore dark
matter cannot be composed of neutrinos.
There are no other known matter particles that
are candidates for dark matter.
Perhaps the inertial field of space has mass,
and thus holds the universe together.
The inertial field would be a continuous
manifold that produces effects such as
the centrifugal force. It would contain
a set of equivalent inertial reference frames
as
prescribed by Galileo. This would
distinguish it from the electromagnetic ether
which
transmits light waves and has a preferred
reference frame for the speed of light,
as prescribed by Maxwell.
The masses of the universe seem to be
distributed as follows: Pie Chart The cardinality of the
inertial field seems to be 2ℵ0
(the ℝ3
continuum), whereas the cardinality
of the electromagnetic ether seems to be in
between ℵ0 and 2ℵ0
(a strange
subset of ℝ3).
In fact, Meta Theorem found 5 strange
subsets with
fractal properties!
Theoretically, since the
Inertial Field has 16 times the
mass of the Ether, Ori ships
running
Tokomak power should be able to
go 16 times faster than Gould
ships running zero point.
As
Emperor of Chicago,
I propose the construction of a national high speed
rail system:
North America has an inexhaustible
power source that can be used to run high speed
trains.
Here is a map of the proposed
; this system shall be powered by
nuclear fusion. This will be a
17000 mile grid network of dedicated TGV railways that
will
run at 220 mph, and will cover
all regions of the continent. Maglev
can be used for downtown
to airport transit in key cities.
In order to build a national high speed
rail system, we need the U.S. military to
withdraw from a variety of foreign lands and restore
development on American soil.
The Federal 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. Any attempts to expand diesel rail in
North America will fail because of
electrification in East Asia; furthermore, electrification isn't
possible with the current
hub and spoke system. Therefore, we
need to build an electric high speed grid
network.
Because of the 9-11 Muslim terrorist
attacks, the U.S. economy hasn't been able
to build
any high speed railroads in the 21st
century, so far. The damage the
Muslims did to
the U.S. industrial base has led to a
situation whereby China has 30000 miles
of TGV trackage, and the U.S. has zero.
At least $5 trillion needs to be appropriated in order
to fund construction of the Interstate
Railway System. If built, this would be the
first continent-wide
fusion powered high speed rail system in the cosmos.
