This program contains the code for the proof that the triangular
bi-pyramid is the energy minimizer for all power law potentials
in [-2,13]-{0}.  It is a companion to my paper
"The Triangular Bi-Pyramid Minimizes a Range of Power Law Potentials".

To compile the program type javac *.java
To run the program type java Main.
When the program runs, the control
panel opens up.  Click on the INFO
button immediately to bring up
further documentation for the program.

The program is all set to run the first of the
5 main computational tests in the paper.  Just
push go.  If you want to see the program in action,
open the blocks window.  This will do the calculation
for G3.  Use the arrow keys to select the exponents
4,5,6.  This will do the calculations for G4,G5,G6.
If you want to do the calculation for G10_hat,
select the advanced mode on the control panel
and press go.  

These calculations take a long time.  
For G3, it takes about 1.5 hours   
For G4, it takes about 1.5 hours
For G5, it takes about 3 hours
For G6, it takes about 6 hours
For G10_hat, it takes about 52 hours

If you want to run the calculations
non-rigorously in about 1/5 the time,
select the floating point option
and rerun them. If you want to see
similar calculations, go into the
advanced mode and decrease the 
radius parameter. For instance, set
it equal to 0 and run the case of G3
with floating point calculations.
This only takes about a minute.




