


The bifurcation diagram is the result of the ploting of the equation
f(x)=k*(x)(1x). This is iterated with the result of the function being the
x value in the next interation of the equation. The diagram is ploting of the
result of the equation each of the 50 times it is iterate. The intial x value
is preset and the k value ranges from 1 to 4. The resulting graph is the
bifurcation diagram.





The three dimensional program uses animation with the idle key as well
as solid figures, in addtion, lighting is added to the figures to give
the full 3d effect. The program is just a couple of figure rotated and
translated on top of each other.





The Mandelbrot set is the plotting of the iterated equation of f(Zn) Zn= a+bi, where a is a real
number and bi is an imaginary number. The plot is plotted on a complex plane, where the xaxis are
the reals and the yaxis are the imaginary numbers. Upon each iteration, a(n+1)= an^2bn^2+a0, and b(n+1)=
2anbn+b0. This process can be altered to produce the Julia set, in which a0 and b0 are points chosen from
the Mandelbrot set, the location of point produces different images.





The physics lab is the simulation of a particle traveling in a earth environment affected by gravity,
projection angle, and initial velocity. It is a form of projectile motion. The distiction is that at
the higher level the pyhsics lab will include other forces, such as a repelling force that will act
on the particle as it travels through the enviornment. The output of the project comes in two forms
the first is a projectile simulation where the ball and target as well as gravitational forces are
represented in forms of ball and force beams (as shown in the example). The second form is the force
angle map, where all the possible angles and speeds are plotted, and each hit depending on how far
away it lands from the target is assigned a color.





The Parallel Virtual Machine divides a large task into smaller parts to be run on several
different machines to increase the speed and operation of the algoritham. The operation run
was a Mandlebrot set of the previous lab. Please see above for more info.

The Master
The Slave




ProvRay is a light ray tracing program similar to Open GL reviewed earlier in the year. The main difference between
the two is that provray is more sufisticated enabling more objects and enviornments to be programmed more easily
thus, it is much better and allows for better handling and fancier stuff.


