Image rotation using patch for plot.

I need manipulate matrix vert for creat a rotation in z axis.

I'm transpose this matrix and multiply for matrix rotation... Transpose again and try exclude the four columm for using this in patch function.

clf;
figure(1);
format compact 
h(1) = axes('Position',[0.2 0.2 0.6 0.6]);
vert = [1 1 -1 1; 
        -1 1 -1 1; 
        -1 1 1 1; 
        1 1 1 1; 
        -1 -1 1 1;
        1 -1 1 1; 
        1 -1 -1 1;
        -1 -1 -1 1];

fac = [1 2 3 4; 
       4 3 5 6; 
       6 7 8 5; 
       1 2 8 7; 
       6 7 1 4; 
       2 3 5 8];

theta = 30;

rotacaoz = [cos(theta) -sin(theta) 0 0;
sin(theta) cos(theta) 0 0;
0 0 1 0;
0 0 0 1];   

vertices = vert';

vertices = vertices * rotacaoz;

vertices = vertices';

vertices(:,[3 4])=[]

patch('Faces',fac,'Vertices',vertices,'FaceColor','c');  % patch function
axis([-1, 1, -1, 1, -1, 1]);
axis equal;
hold on;
material metal;
alpha('color');
alphamap('rampdown');
view(3);

Answer 1

[Walter Roberson]

If what you care about is the output appearance and not so much how you got there, then you may wish to consider putting the patch of the original vertices into a hgtransform group, and using makehgtransform to build the rotation matrices.

If you are not wanting to display the axes, then you may wish to consider using camorbit()

[Henrique]

I need demonstrate this transformations in my code. My solution depends this.