sparkler

on 29 Oct 2022

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(9,2e2);

% iterate gravitational force exchange

A=hot(999);

for k=1:900

Q=P;

% distance of all points to each other

D=reshape(P,9,1,[])-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,.1)

end

axis off equal

Open in MATLAB Online