How can I create the third axis to plot ?

Hi Everyone,

There are coordinates (2D) of X and Y points which the matrix is [X Y].

When I plot the [X Y], the graph exists like this (red part);

I want to create Z axis to put each [X Y] point on this axis. the length of Z axis;

Z= 0 : face_width;

for every point on Z , I should create the same graph along Z until the face_width by turning the points around Z axis. the angle for rotating is starting from 0 to helix_angle. the rotating of points must start from 0 degree and increase helix_angle/face_width until the face_width. If we assume helix_angle is 10 degree and face_width is 20 mm, first turned graph's angle is 0.2 degree , second is 0.4 degree ... until 10 degrees. the rotating formulas;

X_rotate = X.*cos() - Y.*sin();   
Y_rotate = X.*sin() + Y.*cos();

Thus, I need to create the same graphs behind the original graph along the Z axis while rotating it for an angle.

I think I could not explain my question good enough. I hope , at least, somebody understand a little what I am trying to ask. At least, I hope somebody can give a suggestion.

Thanks to contributers.

[Star Strider]

Context: — how to copy and rotate a 2D graph around a circle ?

[Ender Rencuzogullari]

Sir, It was about rotating around a circle. At this time, I want to create the same graph along the Z axis so I can create the tooth profile in three axis.

[Star Strider]

I remember. I post context information so that people will have some idea of the problem you are solving. In this instance, they need to know you want to create a 3D plot of a gear.

[Ender Rencuzogullari]

Sir, I found the answer at this link: Plotting many 2D curves on 3D Axis. But I could not arrange it to my code. Length error existed.However, When I apply;

Z_points = 1 : face_width/point_on_flank : face_width;
plot3( X(1:K_1), Y(1:K_1), repmat(Z_points(1:end),size(X_troc_rotate(1:K_1)));

there existed problem which is about length. How can I fix that?

Answer 1

[Steven Lord]

So you want something like the MAKEVASE example?

[Ender Rencuzogullari]

no Sir, I need to create a few the same graph along the Z axis. to make more clarify;

[Star Strider]

He’s quite cleverly used MATLAB to design and plot a gear in 2D. (See the third Comment to my Answer in how to copy and rotate a 2D graph around a circle ?.) I infer that he wants to put it in 3D in a way that he can manipulate it in 3D.