How to plot 5D in MATLAB

I have four variables and one output. The variables are A, B, C, D. All are 11*1 matrix. Based on the four avriables, the Z is calculated. I would like to plot A, B, C, D, Z as a 5D plot. Is it possible in MATLAB? If possible, How can I do that?

[Walter Roberson]

Should we assume that F-Theory is true and plot using A vertical, B horizontal, C and D as the two time dimensions, and Z as colour?

[DGM]

You may find that simpler representations are more readable. Considering that you're asking how to create a complicated and potentially unreadable visualization of some particular data, being familiar with the context is likely necessary in order to judge whether any particular solution is appropriate.

[the cyclist]

Are you able to hand-draw what your five-dimensional plot would look like, and upload the image?

Answer 1

[Cris LaPierre]

Your first 3 dimensions can be visualized on a cartesian axes (X,Y,Z). You'll need to get creative to view higher dimensions. For those dimensions, you can look into varying color, size, or marker shape to convey information about higher dimensions.

So here, I would try scatter3 with the following syntax:

• scatter3(X,Y,Z,S,C)

[Cris LaPierre]

You never broght your variables back to this question. You have a variable F that is a function of W,X,Y,and Z. The result is an 11x11x11x11 array. That makes it a bit trickier to visualize, but following my suggestion about, here's one aproach. One big caveat - there is no guarantee that W, X, Y and Z align properly with F. You never said how you looped through them to calculate F, so I had to make some assumptions.

W,X and F are visualized along the cartesian coordinate axes. Y is visualized by marker size, and Z is incorporated into marker color.

load ABBvars.mat

[gW,gX,gY,gZ] = ndgrid(W,X,Y,Z);

scatter3(gW(:),gX(:),F(:),rescale(gY(:),2,30),gZ(:),"filled");
c = colorbar;
c.Label.String = 'Z';
xlabel('W')
ylabel('X')
zlabel('F')

view([-60 35])

[ANANTA BIJOY BHADRA]

Yes. Your code gave me the exact answers that I needed. Thank you.

Answer 2

[Walter Roberson]

You cannot. A screen has two independent physical coordinates. You can use animation to add a time coordinate. You can use color to represent another coordinate. That is four coordinates representable, but you have five coordinates.

[Walter Roberson]

Ah, I had forgotten a possibility. You could code at least part of your project in Simulink, and build a Virtual Reality World, https://www.mathworks.com/help/sl3d/build-virtual-reality-worlds.html . With appropriate VR googles, that would give you an apparent additional dimension. However... the encoding of one of the dimensions in virtual space requires that you have time to move your head position to get different viewpoints, and to some degree that conflicts with using time to encode one of the physical coordinates. You would need to make compromises such as making the time-encoded coordinate relatively slow compared to the rate you would be likely to want to move your head to access the virtual physical coordinates.