plotting - 3D plot from lists

I'm trying to generate a 3D plot of some functions a,b,c, under certain inequality constraints. I have earlier defined the functions

a[x,y,z],b[x,y,z],c[x,y,z]

and

f[a[x,y,z],b[x,y,z],c[x,y,z]]

So far I have:

RegionPlot3D[
0 < f[a[x, y, z], b[x, y, z], c[x, y, z]] && 

0 < a[x, y, z] < 1 && 0 < b[x, y, z] < 1 && 0 < c[x, y, z] < 1, 
{x, -Pi/2, Pi/2}, {y, 200, 2000}, {z, 100, 1000}]

This works great, and gives me a 3D plot showing the region in x, y, z space for which the constraint holds.

Now, I have lists of a,b,c from another calculation, i.e.,

mat=Table[{a[i],b[i],c[i]},{i,0,10}] 
alist=mat[[All,1]]

Essentially I want to use a similar RegionPlot3D code to plot the space in x, y, z for which the a,b,c values from the dataset fulfill the conditions (inequalities).

I'm struggling with:

Properly ordering/pairing my data sets, such as to thread each set of corresponding a, b and c values together

Calling values from the data table in the RegionPlot3D, i.e. running it for every data point in the table a, b, c

Plotting this on a 3D plot in terms of x,y,z. So essentially I have the functions a[x,y,z],b[x,y,z],c[x,y,z] and separately lists of a, b, c values.

Any help would be much appreciated!

Comments

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