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COLLEGE OF ENGINEERING
THE
UNIVERSITY OF TEXAS AT AUSTIN
Department of Chemical Engineering•Austin, Texas 787121062•(512)4715238•FAX(512)4717060
ChE 210
Homework 8
Due:
Friday, April 2 (in Lab sessions)
Matrix Programming
This exercise is a matrix manipulation exercise that is a slight variation of the Mandelbrot
(beetle) calculation done in class.
Remember to identify your homework with the following
comment lines.
%Your Name
%ChE 210
%Homework 8
%Due Date
In this problem you will calculate a 512x512 matrix of values that represent the Julia set.
The key to the calculation is the following pair of iteration equations
r
next
= r
prev
*r
prev
s
prev
*s
prev
+ x
s
next
= 2*r
prev
*s
prev
+ y
For this problem we will hold x and y constant for all elements in the matrix and start with
different values of r and s for each element in the matrix.
x and y will both be arguments
to the function.
Different x and y values produce different, interesting results.
We iterate the above equations until r*r+s*s > 4 or 255 iterations are performed
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