Ellipse around Circle problem
3 visualizaciones (últimos 30 días)
Mostrar comentarios más antiguos
Gashi
el 6 de En. de 2022
Comentada: Gashi
el 6 de En. de 2022
Any idea how I could make the ellipses go around the circle to make a flower?
Here's the code:
clf
figure;
t=0:0.01:2*pi;
x=10*cos(t);
y=3*sin(t);
for i=1:12
hold on;
q=[x;y];
e=pi/12*i;
z=[cos(e) -sin(e);sin(e) cos(e)];
k=z*q;
r=k(1,:);
d=k(2,:);
plot(r,d);
axis square;
pause(1);
end
hold on;
drawCircle(0,0,1);
1 comentario
Respuesta aceptada
Yusuf Suer Erdem
el 6 de En. de 2022
That is the required code below. The red one with the dashed line is the circle and the other ones are the ellipses around it. You could increase the quantity of ellipses by using other type of formulas or you could try to rotate the existing ones.
clc; clear; close all;
C = [0 0] ; % center
a = 2.5 ; % major axis
e = 0.8 ; % eccentricity
b = a*sqrt(1-e^2) ; % minor axis
R = 2; % Radius if cricle
th = linspace(0,2*pi) ;
% Ellipse
xe = C(1)+a*cos(th) ;
ye = C(2)+b*sin(th) ;
% Ellipse
xe2 = C(1)+b*cos(th) ;
ye2 = C(2)+a*sin(th) ;
% Circle
xc = C(1)+R*cos(th) ;
yc = C(2)+R*sin(th) ;
% plot
plot(xe,ye,'b',xe2,ye2,'g',xc,yc,'r--')
axis equal
4 comentarios
Yusuf Suer Erdem
el 6 de En. de 2022
I changed the codes into that way. And the graph is below. For the missing ellipses, you need to identify the center points and add these ellipses to these points. After you need to rotate them according to the required angle without changing their sizes.
clc; clear; close all;
CC = [0 0] ;
CE = [0 1.5] ;
CE2= [1.5 0] ;
CE3= [0 -1.5];
CE4= [-1.5 0];
a = 0.5 ;
e = 0.8 ;
b = a*sqrt(1-e^2) ;
R = 0.5;
th = linspace(0,2*pi) ;
xe = CE(1)+b*cos(th) ;
ye = CE(2)+a*sin(th) ;
xe2 = CE2(1)+a*cos(th) ;
ye2 = CE2(2)+b*sin(th) ;
xe3 = CE3(1)+b*cos(th) ;
ye3 = CE3(2)+a*sin(th) ;
xe4 = CE4(1)+a*cos(th) ;
ye4 = CE4(2)+b*sin(th) ;
xc = CC(1)+R*cos(th) ;
yc = CC(2)+R*sin(th) ;
plot(xe,ye,'b',xe2,ye2,'g',xe3,ye3,'y',xe4,ye4,'c',xc,yc,'r--')
axis equal
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/855230/image.png)
Más respuestas (0)
Ver también
Categorías
Más información sobre 2-D and 3-D Plots en Help Center y File Exchange.
Productos
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!