Sometimes plotting mathematical equations is outright fun. The patterns that can be created are like no other.
From the field of "dynamical systems and fractals," there is a system called the "Lorenz Attractor." There are three equations
that govern it, one for $x$, one for $y$ and one for $z$, which are:
where $a$, $b$ and $c$ are constants. $d$ is also a constant, that must be small, like $d=0.01$. Here, $x$, $y$, and $z$ are coordinates that may be plotted using pset versus one
another. Starting $x=1$, $y=1$, and $z=1$, choose values of $a$, $b$, and $c$, and see if you can plot the Lorenz Attractor.
(Hint: Try $a=10$, $b=28$, and $c=8/3$ to start out. Use pset to plot $x$ vs $z$.)
Now you try. Try fixing the x=, y= and z= and the pset statements to plot the Lorenz Attractor.
Type your code here:
See your results here:
This code will not run. You have to fix the y= statement first to define your parabola (hint: try y=x^2). Next, you
have to fix the pset statement to plot $x$ on the x-axis, and $y$ on the y-axis. Can you do it?
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