Plotting two Spherical helix on top of each other with one being 90 deg shifted rotated about the z axis

The code below plots a spherical helix.

What I want is another spherical helix plotted on top but rotated 90deg about the z axis (different colors are to be used for the second helix)

% Set the Order #

Order = 5;

% Set 3D attributes

t = 0:0.01:Order*pi;

% set x, y and z curves

%positive half

xp = sin(-t/Order).*cos(t);

yp = sin(t/Order).*sin(t);

zp = cos(t/Order);

%Negative Half

xn = sin(t/Order).*cos(t);

yn = sin(-t/Order).*sin(t);

zn = cos(t/Order);

% Set figure number

figure(Order);

% Plot all curves as defined

plot3(xp, yp, zp, xn, yn, zn);

% Label 3D axis

xlabel('X');

ylabel('Y');

zlabel('Z');

Answer 1

[Scott MacKenzie]

For a before-and-after comparision, substitute the following for the plot3 line in your code. The z-axis rotation isn't particularly obvious, but look carefully and I think this is what you are after.

tiledlayout(1,2);
nexttile; % plot on left
% this is what the code in the question generates
plot3(xp, yp, zp, xn, yn, zn);

nexttile; % plot on right
% plot 1st curve as is
plot3(xp, yp, zp);
hold on;
% plot 2nd curve with 90 degrees rotation about z-axis
h = plot3(xn, yn, zn);
rotate(h, [0 0 1], 90);

or perhaps...

tiledlayout(1,2);
nexttile;
% this is what the code in the question generates
plot3(xp, yp, zp, xn, yn, zn);

nexttile;
% plot the two curves in separate colors with 2nd curve rotated
plot3(xp, yp, zp, 'b', xn, yn, zn, 'b');
hold on;
h = plot3(xp, yp, zp, 'm', xn, yn, zn, 'm');
rotate(h, [0 0 1], 90);

[William Black]

Most excellent!

I’ve been looking at this all day and could not see the solution. I was attempting to use the ‘rotate’ command earlier, but with no luck.

Thank you very much…you’re on my X-mass list.

[Scott MacKenzie]

@William Black, you're welcome. Glad to help.

BTW, does my answer actually create the graph you want? I was thinking after posting it, that perhaps you wanted the entire two-curve helix to be replicated with rotation added, and with a distinct color for each helix. I just added some additional code to that effect, just in case. Again, good luck.

[William Black]

No, LOL. Your originally suggested code did not create the visual I needed. But using your technique, I was able to modify my code appropriately.

I was actually looking for a way to modify the equations to produce the phase shift initially, negating the need to visually rotate the image. I will continue to explore this approach. If you have any suggestions, I would be most appreciative.

But your new edited solution as shown above does indeed produce the desired visual.

I'm just beginning to learn the MatLab commands, syntax and, ultimately, realize its potential regarding my work...I may have more questions in the future after become more intrepid.

Thanks again!