3D Tetra hedron by voronoi diagram .

1. make polygon more uniform in size at the trade off of randomness remove artifact of the border.
2. adjust repulsion parameters.
3. improve sticky-border artifact due to denser points

i tried to make a 3D buts it do not have the above mentioned qualities .i want to make the tetrahedron big enough that do not intersect but i want to control the number of vertices (maximum should be 15 ). plus uniform distribution inside cube .

N=250;

X=rand(N,3);

n=80;

my_vertices = [0 0 0; 0 1 0; 1 1 0; 1 0 0; 0 0 1; 0 1 1; 1 1 1; 1 0 1];

XALL=[X;my_vertices];

n1 = size(X,1);

DT = delaunayTriangulation(XALL(:,1),XALL(:,2),XALL(:,3));

%triplot(DT)

[V,r] = voronoiDiagram(DT);

yV = V(:,2);

xV = V(:,1);

zV=V(:,3);

%plot(xV,yV,'b-');

inside = (yV>0)&(yV<1)& (xV<1)& (xV > 0) &(zV<1)& (zV > 0) ;

inside = cellfun(@(id) all(inside(id)), r);

r = r(inside);

for k=1:length(r)

rk = r{k};

m = length(rk);

W = rand(m-1,n) .^ (1./(m-1:-1:1)');

W = cumprod([ones(1,n);W]) .* (1-[W; zeros(1,n)]);

%P = W'*V(rk,:);

% P = V(rk,:)- .0000001.*V(rk,:);

P =W'* (V(rk,:));

%P = W'*P;

K = convhull(P);

r{k} = P(K,:);

% plot(P(:,1),P(:,2),'.');

%hold on

end

figure(1)

for k=1:length(r)

rk = r{k};

DT3 = delaunayTriangulation(rk);

[C3,v3]= convexHull(DT3);

trisurf(C3,DT3.Points(:,1),DT3.Points(:,2),DT3.Points(:,3),'FaceColor','w');

hold on

end

https://ww2.mathworks.cn/matlabcentral/answers/426087-random-polygons-inside-a-semi-circle