# Ellipse around Circle problem

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Gashi on 6 Jan 2022
Commented: Gashi on 6 Jan 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);
Walter Roberson on 6 Jan 2022
How does this differ from your earlier questions ?

Yusuf Suer Erdem on 6 Jan 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
Gashi on 6 Jan 2022
Nice! Thank you so much! :)