Making a Rubik's Cube in Matlab?

Question

I am trying to make a 3d model of Rubik's cube.

I initially tried it using the patch command

vert = [0 0 0; 0 1 0; 1 1 0; 1 0 0 ; ...
        0 0 1;0 1 1; 1 1 1;1 0 1];
fac = [1 2 3 4; ...
    2 6 7 3; ...
    4 3 7 8; ...
    1 5 8 4; ...
    1 2 6 5; ...
    5 6 7 8];
k = patch('Faces',fac,'Vertices',vert,'FaceColor','r');  % patch function
material shiny;
alpha('color');
alphamap('rampdown');
view(30,30);

But since I may need to give different color to each surface I had to use the patch command multiple twice. Hence I was not able to refer the entire cube when I wanted to

Another method I found was using the command plot::Box in MuPAD

plot(plot::Box(0..1, 0..1, 0..1, Filled = TRUE,
               FillColor = RGB::Red),
     plot::Box(1..2, 0..1, 0..1, Filled = TRUE,
               FillColor = RGB::Red),
plot::Box(2..3, 0..1, 0..1, Filled = TRUE,
               FillColor = RGB::Red),
     plot::Box(0..1, 1..2, 0..1, Filled = TRUE,
               FillColor = RGB::Red),
plot::Box(0..1, 2..3, 0..1, Filled = TRUE,
               FillColor = RGB::Red),
     plot::Box(2..3, 1..2, 0..1, Filled = TRUE,
               FillColor = RGB::Red),
plot::Box(1..2, 2..3, 0..1,Filled = TRUE,
               FillColor = RGB::Red),
     plot::Box(2..3, 2..3, 0..1, Filled = TRUE,
               FillColor = RGB::RED,),
     Axes = None, Scaling = Constrained)

But here I am not able to give separate color to each surface. I tried using FillColorDirection = [0, 0, 1]) but it is not working

Is it possible to give separate color for each face when using the plot:Box or is there a better way of doing this?

Kenneth Joseph Paul Kenneth Joseph Paul · Accepted Answer · 2014-08-03T17:30:51

I was able to solve the problem by using the patch itself. There is a property known as FaceVertexCData for patch. Through that we would be able to specify the color for each face. We should also Facecolor to flat as shown below

cube = patch('Faces',fac,'Vertices',vertice,'FaceVertexCData',color,'FaceColor','flat');  % patch function

In the above the color is 6*3 matrix in which each row has the RGB value of the color required. The color in each row is applied to faces in the order in which it was defined.

Making a Rubik's Cube in Matlab?

1 Answers