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 11.

The original version of my Towers of Chicago software won 5

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

This power source will last for 10 million years!

Here is the

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.

Amtrak has a fleet of high-speed diesel locomotives which were designed

by Meta Theorem. Therefore, as Emperor of North America, I order that

the following routes shall go high-speed (110 mph) by the end of 2018:

Lincoln Service --- Chicago - St. Louis - Kansas City (567 mi)

Hiawatha --- Chicago - Milwaukee - St. Paul (410 mi)

Cascades --- Seattle to Portland (187 mi)

Coast Starlight --- Oakland to Los Angeles (464 mi)

Crescent --- Atlanta to New Orleans (518 mi)

Pennsylvanian --- Pittsburgh to Philadelphia (353 mi)

Video Game Music

Index of Directories

Last updated December 2018.