How to stack-up multiple cases in z axis?
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Aditya Zade
on 28 Sep 2023
Commented: Star Strider
on 28 Sep 2023
I would like to change multiplier term from 1 to 50 with a step of 1 and plot all the shaded area by stacking all the cases up in z axis. Different cases could have different shaded area color to distinguish.
clc
clear
x(1) = 0 ;
y(1) = 0 ;
multiplier = 50 ;
for i = 1 : 1 : 99
x(i+1) = i^2 ;
y(i+1) = multiplier * i ;
end
iv = 1:numel(x);
Lv = x <= y;
hold on
figure(1)
plot(x)
hold on
plot(y)
patch([iv(Lv) flip(iv(Lv))], [x(Lv) flip(y(Lv))], 'g')
grid on
3 Comments
Accepted Answer
Star Strider
on 28 Sep 2023
clc
clear
x(1) = 0 ;
y(1) = 0 ;
zm = NaN(2,200);
multiplier = 50 ;
figure(1)
hold on
for i1 = 1:2
multiplier(i1) = 40 + 10*(i1-1);
for i = 1 : 1 : 99
x(i+1) = i^2 ;
y(i+1) = multiplier(i1) * i ;
end
iv = 1:numel(x);
Lv = x <= y;
zm(i1,:) = [x y];
plot3(iv, x, ones(size(iv))*multiplier(i1))
% hold on
plot3(iv, y, ones(size(iv))*multiplier(i1))
% figure(1)
patch([iv(Lv) flip(iv(Lv))], [x(Lv) flip(y(Lv))], [ones(size(x(Lv)))*multiplier(1) ones(size(flip(y(Lv))))*multiplier(i1)], 'g', 'EdgeColor','none')
view(-30,30)
end
hold off
grid on
This is difficult to do with a patch plot. A surf plot wopuld be easier. The problem is that the numbers of elements in both plots would have to be the same, and this would likely require using interp1 to make their sizes equal.
.
2 Comments
Star Strider
on 28 Sep 2023
I suggested surf.
For example, since you are interested in a half-cone with unequal ends —
x = [1;1].*linspace(0, 1, 25);
y = [1.5;1;1.5;1].*[sin(pi*x); cos(pi*x)];
z = [2;1].*ones(size(x));
cm = turbo(2);
figure
surf(y([1 2],:), y([3 4],:), z, 'FaceColor','interp', 'EdgeColor','interp')
hold on
surf(y([1 2],[1 end]), y([3 4],[1 end]), z(:,[1 end]), 'FaceColor','interp', 'EdgeColor','interp')
patch(y(1,:), y(3,:), z(1,:), cm(2,:), 'EdgeColor',[1 1 1]*0.25) % Upper Surface
patch(y(2,:), y(4,:), z(2,:), cm(1,:), 'EdgeColor',[1 1 1]*0.25) % Lower Surface
hold off
xlabel('X')
ylabel('Y')
zlabel('Z')
colormap(turbo)
axis('equal')
title('Expanding Closed Half Cone')
Rotate it to see that the upper and lower surfaces are closed with patch plots in the appropriate colours. Change the radial dimensions (the 4-element column vector in ‘y’) to change its shape. The rest of the code should adapt to those changes.
.
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