[Year 12 SofDev] programming and maths

[Jack Matthews]

mmm...i might give this a go in PHP.  Is is possible to get a written example of the maths and desired display scanned and sent to this list?

-jack

Date: Wed, 19 Nov 2008 10:40:58 +1100
From: IAQUIM at bialik.vic.edu.au
To: vbasic at edulists.com.au; php at edulists.com.au; sofdev at edulists.com.au
CC: greyruin at gdurkin.com
Subject: [Year 12 SofDev] programming and maths
















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?

 

Maggie

 

The task is to display
successive iterations of z-> z2 +c where z = x+iy and  i is
the square root of -1 and c is a complex constant.

 

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.

 

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).

 

I would like a reset
button to initialise everything. Ideally a zoom in and zoom out feature would
be good too.

 

 



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