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on 20 Oct 2021
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figure(Color='k')
hold
Current plot held
% function shortcuts
m=@(a,c)max(min(a,c),-c);
s=@vecnorm;
n=@(p)p./s(p);
% random uniformly distributed values on the unit sphere
P=randn(3,1e3);
% iterate gravitational force exchange
A=hot(580);
for k=1:540
Q=P;
% distance of all points to each other
D=reshape(P,3,1,[])-P;
% calculate gravitational exchange force
U=sum(m(D./s(D).^2,10),3)/1e4-1e-3;
% add bounded, cumulative displacement and project result to unit sphere
P=n(P+n(U).*m(s(U),.01));
% plot imitating more points than actually calculated
h=scatter(P(1,:),P(2,:),m(s(P-Q).^-2/2e4,2e5/(2+k)),A(40+k,:),'f'); %
alpha(h,.03)
end
axis off equal
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