Wollknoll 2100

on 31 Oct 2021

% set background

figure(Color='w')

hold on;

% 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=n(randn(3,1e3));

% iterate gravitational force exchange

q=700;

A=jet(q);

for k=1:q

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).^-3/1e5,5),A(k,:),'filled');

alpha(h,.9)

end

axis off equal