infinite plane passing through four points

Hi everyone, do you know how to create an "infinite" plane that passes through 4 points? I started this way but I don't know how to proceed:

fv = openfig('NAME');  

p1=[3.089 42.22 -15.06];
p2=[2.728 39.61 -12.88];
p3=[3.329 24.87 -33.42];
p4=[0.8426 33.42 -42.55];

h=patch('Faces',1:4,'Vertices',[p1;p2;p3;p4]);
set(h,'FaceColor','r','EdgeColor','w','LineWidth',1,'FaceAlpha',0.1) 
axis equal 
view([30 30])
xlabel('x','FontSize',10)
ylabel('y','FontSize',10)
zlabel('z','FontSize',10)

thanks to all

Answer 1

[John D'Errico]

P=[3.089 42.22 -15.06;
   2.728 39.61 -12.88;
   3.329 24.87 -33.42;
   0.8426 33.42 -42.55];
svd(P - P(1,:))

ans = 3×1

37.4569 9.1715 0.9556

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Unless that third number was quite small, the 4 points don't all lie in one plane. It is too large by roughly a factor of 100, if we assume those numbers were rounded to 4 decimal places. So you cannot form an infinite plane.

You might decide to find some surface that passes through all 4 points, but there are infinitely many such surfaces.

Regardless, before you decide to plot some surface, you will need to find the relationship that describes that surface.

[Alberto Acri]

but is it possible to create a "finished" plan that passes through those 4 points?