2007-2008 Supercomputing Challenge New Mexico Supercomputing Challenge


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Challenge Team Interim Report

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    Team Number: 001

    School Name: Tularosa High

    Area of Science: Geometry

    Project Title: Graphing in Five "dimensions"

Final Report

After much debate we finally decided to switch our topic from desaliniezation to Graphing In 6 dimensions. Now we know you're saying, "SIX DIMENSIONS! I THOUGHT THERE WERE ONLY THREE!" Well there are six dimensions believe it or not because the basic definition of a dimension is something or another that can be measured. Based on that basic idea we came up with a lot more than six dimensions, but we decided that the first six would be best combined to form a super computer project. Okay enough of my ramblings and on to the next paragraph.

The afore mentioned states that we are graphing in 6 dimensions. How is this possible? Well to answer that question we will start off by telling you which six dimensions, out of the very numerous dimensions I might add, we will be measuring. They are: length, width, hieght, time, gravity, and velocity.

Sure you can argue it out with us that this and that aren't considered dimensions, but we are using them as dimensions in the sense that they can be measured. This would benefit the scientific community by taking a whole bunch of easily calculated formulas that seperatly could be "done on a pocket calculator" and combining them into one really big program that will give the user all kinds of useful information such as, distance, distance fallen, speed, acceleration, direction and force of attraction between two objects. If we have enough time, we plan to add a few more objects into our basic program.

As of December 8, 1999 we have a basic working "start of a program" here are the mathematical equations we have implemented in to it so far. It's based on a sun at (0,0) and the user may input the mass and point in space to place another object, this shows what happens when the objects are not moving at start and the sun staying at (0,0). it is predicted that the object either bounces off the sun rapidly or the object goes through the sun repeatedly unless you enter an even number.

G = 6.67 * 10e-11 universal gravity/ Kg's
d = sqrt x*x + y*y distance = the square root of x^2+y^2
sun = 1,000,000 set mass of "our" sun/ kg's
mass = l * w * h mass of object/ kg's
F = G * m1 * m2 / de2 force of attraction m1 = object m2 = sun de2 = distance squared.

a = F / m1 * m2 acceleration /km per second (kms)
v = a * t velocity = a * time (t) kms

dc = ((v * t) + (1/2 * a * te2)) total distance traveled.
da = d - dc total distance away from sun

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Project Advisor(s)

  • Bruce Parker
  • Chuck Holmgren
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