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<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>One of our maths teachers is looking for a programming
solution to the following. Any ideas which language is best for this? Anyone
willing to give it a go?<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Maggie<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><b><font size=3 color=red face=Arial><span style='font-size:
12.0pt;font-family:Arial;color:red;font-weight:bold'>The task is to display
successive iterations of z-> z<sup>2 </sup>+c where z = x+iy and i is
the square root of -1 and c is a complex constant.<o:p></o:p></span></font></b></p>
<p class=MsoNormal><b><font size=3 color=red face=Arial><span style='font-size:
12.0pt;font-family:Arial;color:red;font-weight:bold'><o:p> </o:p></span></font></b></p>
<p class=MsoNormal><b><font size=3 color=red face=Arial><span style='font-size:
12.0pt;font-family:Arial;color:red;font-weight:bold'>In particular I want to be
able to preset the number of iterations for a given initial value of z (called
z(0)) and a fixed (but user selectable) value of c. I’m thinking of a
maximum of 1000.<o:p></o:p></span></font></b></p>
<p class=MsoNormal><b><font size=3 color=red face=Arial><span style='font-size:
12.0pt;font-family:Arial;color:red;font-weight:bold'><o:p> </o:p></span></font></b></p>
<p class=MsoNormal><b><font size=3 color=red face=Arial><span style='font-size:
12.0pt;font-family:Arial;color:red;font-weight:bold'>I want to see a display of
the iterates in a list and a plot on the Argand diagram of each iterate joined
to the previous iterate with a line. I want a unit circle fixed on the display
. I want to be able to show other circles as user defined. I want to be able to
show the Argand diagram with user defined min and max values of Re(z) and
Im(z).<o:p></o:p></span></font></b></p>
<p class=MsoNormal><b><font size=3 color=red face=Arial><span style='font-size:
12.0pt;font-family:Arial;color:red;font-weight:bold'><o:p> </o:p></span></font></b></p>
<p class=MsoNormal><b><font size=3 color=red face=Arial><span style='font-size:
12.0pt;font-family:Arial;color:red;font-weight:bold'>I would like a reset
button to initialise everything. Ideally a zoom in and zoom out feature would
be good too</span></font></b><b><font color=blue face=Arial><span
style='font-family:Arial;color:blue;font-weight:bold'>.<o:p></o:p></span></font></b></p>
<p class=MsoNormal><b><font size=3 color=blue face=Arial><span
style='font-size:12.0pt;font-family:Arial;color:blue;font-weight:bold'><o:p> </o:p></span></font></b></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
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