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on 16 Oct 2021
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N=50;
x=2+rand(1,N)-1;
y=2+rand(1,N)-1;
P=[x;y];
P=P-mean(P,2);
t=atan2(P(2,:),P(1,:));
[t,idx]=sort(t);
P=P(:,idx);
P=[P P(:,1)];
figure('color','k')
hold on
for k=1:0.001:1.5
S1=[k 0;0 1];
S2=[1 0;0 k];
P=S1*(S2*P);
plot(P(1,:),P(2,:),'color',rand(1,3),'LineWidth',2);
end
axis([-N N -N N])
axis off
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