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How can I generate the data for an eight '8' draw?

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Hello, I would like to know how to generate the data for the shape of an eight. I've been trying with some hysteresis functions but nothing gets me close really.
Thank you very much

Risposta accettata

David Sanchez
David Sanchez il 13 Giu 2013
You can try with this:
t=0:.1:2*pi;
x = -sin(t);
y = sin(t);
plot(t,x,'*',t,y,'+')
  2 Commenti
David Sanchez
David Sanchez il 13 Giu 2013
To see the 8 shape:
plot(x,t,'*',y,t,'+')
jadaslg
jadaslg il 13 Giu 2013
Thank you very much! It's kind of what I wanted.
Is there any easy way to extract the x and y datapoints for this figure?

Accedi per commentare.

Più risposte (2)

Paulo Barbosa
Paulo Barbosa il 15 Set 2016
div = pi/50; % Resolution
sz = 100; % Number of Points in 2 Pi
th = zeros(1,sz);
th(1) = pi; % Starting at (0,0) and going up.
for i = 2:sz
th(i) = th(i-1)-div;
end
circ_x = fat*cos(th);
circ_y = fat*sin(th);
x1 = circ_x(1:26);
y1 = circ_y(1:26);
% -------------------------------------------
th(1) = 0;
for i = 2:sz*fat
th(i) = th(i-1)+div*fat;
end
cos_x = th;
cos_y = fat*cos(th/fat);
x2 = cos_x(1:51);
y2 = cos_y(1:51);
% -------------------------------------------
th(1) = -pi/2;
for i = 2:sz
th(i) = th(i-1)+div;
end
circ_x = fat*cos(th);
circ_y = fat*sin(th);
x3 = circ_x(1:51)+16;
y3 = circ_y(1:51);
% -------------------------------------------
x4 = x2';
x4 = flipud(x4);
x4 = x4';
y4 = y2';
y4 = flipud(y4);
y4 = -y4';
% -------------------------------------------
th(1) = -pi/2;
for i = 2:sz
th(i) = th(i-1)-div;
end
circ_x = fat*cos(th);
circ_y = fat*sin(th);
x5 = circ_x(1:26);
y5 = circ_y(1:26);
% -------------------------------------------
x = [x1 x2 x3 x4 x5];
y = [y1 y2 y3 y4 y5];
% A plot so you can see each section
figure
hold on
plot(x1,y1,'.r');
plot(x2,y2,'.b');
plot(x3,y3,'.k');
plot(x4,y4,'.g');
plot(x5,y5,'.y');

Carmelo Fabrizio Blanco
Carmelo Fabrizio Blanco il 3 Nov 2020
t = [0:0.001:10];
f = 10;
x = sin(2*pi*t*f);
y = sin(2*pi*t*2*f);
figure();
plot(x,y);

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