How to plot 4D graph ?

Question

Neeraj Bhanot 2015-6-21

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https://ww2.mathworks.cn/matlabcentral/answers/224721-how-to-plot-4d-graph

编辑： Walter Roberson 2015-6-21

I have two functions "f" and "g" and both are dependent on three variables being x,y and z. Both the functions and boundaries of x, y and z are provided as follows:

x = 150:5:250;
y = 0.2:0.05:0.3;
z = 1:0.1:2;
f = 20./(x.^0.2) .* (y.^0.3) .* (z.^0.01);
g = x .* y .* z

How can both the functions be plotted in one graph itself. Please help.

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Answer 1

Hugo 2015-6-21

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https://ww2.mathworks.cn/matlabcentral/answers/224721-how-to-plot-4d-graph#answer_183463

编辑：Walter Roberson 2015-6-21

在 MATLAB Online 中打开

You can use scatter3. To that end, you can create a matrix containing in each row the coordinates of each point and the value of f or g. Suppose the matrix is called M and the columns are the x, y, z values and the function. Then write:

scatter3(M(:,1),M(:,2),M(:,3),5,'o',M(:,4))

and you will get each point with a different colour representing the value of f or g. Write:

scatter3(M(:,1),M(:,2),M(:,3),M(:,4),'o')

and you will get each point with a different size representing the value of f or g. Write

scatter3(M(:,1),M(:,2),M(:,3),M(:,4),'o',M(:,5))

and you will get the points with different sizes and different colours representing both f and g.

Whether it represents f and/or g depends on what you put in the columns 4 and 5.

Just in case, check the usage of scatter3 in the Matlab help. I might have messed up the order of the last inputs.

Hope this helps.