How i draw a cube with a Cut?

Hi. I need Help for drawing a cube with a cut in the center.

With this coordinates i have a cube.Only a cube

X = [0 0 0 0 0 1;... 
    1 0 1 1 1 1;... 
    1 0 1 1 1 1;...
    0 0 0 0 0 1];
Y = [0 0 0 0 1 0;...
    0 1 0 0 1 1;... 
    0 1 1 1 1 1;...
    0 0 1 1 1 0];
Z = [0 0 1 0 0 0;...
    0 0 1 0 0 0;... 
    1 1 1 0 1 1;... 
    1 1 1 0 1 1]; 

What is the new coordenates for drwaing a cube with a cut in the middle, like the picture in anexo. And draw the cube with the command patch.

alpha=1

alpha = 1

C= [0.5 0.2 0.3 0.5 0.1 0.5];
patch(X,Y,Z,C,'FaceAlpha',alpha)

Thaks for the time. Andre

Answer 1

[TED MOSBY]

Hi,

As you have not specified what kind cut you want, I assume you want a square cut in the centre of the top surface. Have a look at this example code to know how to use the patch command:

% Define the vertices of the cube
X = [0 1 1 0 0 1 1 0];
Y = [0 0 1 1 0 0 1 1];
Z = [0 0 0 0 1 1 1 1];

% Define the faces of the cube
faces = [
    1 2 3 4;  % Bottom face
    5 6 7 8;  % Top face
    1 2 6 5;  % Front face
    2 3 7 6;  % Right face
    3 4 8 7;  % Back face
    4 1 5 8;  % Left face
];

% Define vertices for the cut in the top face
cut_vertices = [
    0.4 0.4 1;  % Cut vertex 1
    0.6 0.4 1;  % Cut vertex 2
    0.6 0.6 1;  % Cut vertex 3
    0.4 0.6 1   % Cut vertex 4
];

% Append the cut vertices to the existing vertices
X = [X cut_vertices(:,1)'];
Y = [Y cut_vertices(:,2)'];
Z = [Z cut_vertices(:,3)'];

% Define the new faces for the top face with the cut
faces_with_cut = [
    5 9 10 6;  % Top face part 1
    10 11 7 6; % Top face part 2
    11 12 8 7; % Top face part 3
    9 12 8 5;  % Top face part 4
    9 10 11 12 % Cut face
];

% Combine the original faces with the new top face with the cut
faces = [
    faces(1,:);  % Bottom face
    faces_with_cut;  % Top face with cut
    faces(3:end,:)  % Side faces
];

% Color for each face
C = [0.5 0.2 0.3 0.5 0.1 0.5 0.7 0.7 0.7 0.7];

% Draw the cube with the cut using patch
figure;
patch('Vertices', [X' Y' Z'], 'Faces', faces, 'FaceVertexCData', C', 'FaceColor', 'flat', 'FaceAlpha', 1);
xlabel('X');
ylabel('Y');
zlabel('Z');
axis equal;
view(3);

Hope this helps!