Re: Regarding multiply-armed equiangular (or Logarithmic) spirals

[James Sherman Jr.]

On Wed, Sep 12, 2012 at 4:43 AM, Rajib & Susmita Bandopadhyay <address@hidden> wrote:

Dear friends,
Could you please inform me how could I generate multiply-armed equiangular (or Logarithmic) spirals in Octave(Debian) ?
Since I use Debian Squeeze, I used openofficemath software to generate the formula printed below. The form should be as follows (with summation convention, this is a series):

 

with the open office Math format as r_n = a.e^(b*%theta).e^(2 *%pi/n), with graph for every r, i,e, r1, r2, r3,..., rn, plotted separately.
Eagerly awaiting your response.
Regards,
bkpsusmitaa

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I think you want a script that looks something like this:

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a = 1; % or whatever you want a to be

b = 1; % or whatever you want b to be

theta = 0:.01:2*pi; % These are the values of theta to be used, starting at 0, and going up by increments of .01 and stopping at 2*pi

N = 10;  % or whatever your maximum number of curves you want

figure;

hold on;

for n = 1:N,

   polar(theta, a*exp(b*theta).*exp(2*pi/n));

endfor

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Save this in a file called, say curves.m, and after you open octave, use the "cd" command to go to the directory you saved the file in.  Then type "curves" to plot.  I think this should do what you want.

I hope this helps.

James Sherman