How I can rotate cube the way that front plane will be come the top plane?

Hi! Could you please give me an advice about 3d rotation. How I can rotate plane of 3d cube. If plane is front or side and I need then rotate my cube in way like that side plane or front plane become the top. I have coordinates of plane and need to rotate by 90 degrees.

I have this planes

planes(:,:,1) = [0 3 3; 0 0 3; 0 3 0; 0 0 0; 0 0 0];

planes(:,:,2) = [0 0 3; 3 0 3; 0 0 0; 3 0 0; 0 0 0];

planes(:,:,3) = [3 0 3; 3 3 3; 3 0 0; 3 3 0; 3 0 0];

planes(:,:,4) = [3 3 3; 0 3 3; 3 3 0; 0 3 0; 0 3 3];

planes(:,:,5) = [0 3 0; 3 3 0; 0 0 0; 3 0 0; 0 0 0];

planes(:,:,6) = [0 3 3; 3 3 3; 0 0 3; 3 0 3; 0 0 3];

location_plane = 6;

Thank you in advance for your time and help

Answer 1

[Jan]

• Use permute(planes, [2,1,3]) to move the 3D coordinates to the first dimension.
• Move the center of the body to the origin (or to a point of the line to rotate around:

Shift = [-1.5, -1.5, -1.5];
P     = planes + Shift;

• Apply a rotation matrix around the axis to rotate around (see e.g. FEX: RotMatrix)

R = [1, 0, 0; 0, 1, 0; 0, 0, -1]  % Adjust to the plane you want
P = R * P;

• Shift pack and change the dimensions on demand:

Result = permute(P - Shift, [2, 1, 3])

[Aknur]

Thank you @Jan it works as I want!