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 10. To run the software, download
JRE 10.
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.
Here is another applet
that calculates the number of top-level partition numbers 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
and here is the imperial city
skyline, Chicago, USA.
By the way, it's really called the Sears Tower.
This is the new symbol of Christendom.
Considering that the United States has an inexhaustible power
source, and that
we're well into the 21^{st} century, Amtrak should be
running electric
trains at 200 mph.
Here is a map of the proposed
rail network.
As Emperor of North America,
I order the United States and Canada to start
building this network as of 2018. Note that since the
imperial city, Chicago,
has 4 supertowers, the rail network won't have to be subdivided
into corridors.