MATLAB Mathematics - SERC - Index of

2 Polynomials and Interpolation
T =
4 9 3 1
4 9 2 1
7 9 3 1
7 9 5 1
7 4 9 3
7 4 8 9
6 9 2 1
6 9 5 1
6 4 9 2
6 4 8 9
6 7 9 5
6 7 8 9
The 12 rows of T represent the 12 simplices, in this case irregular tetrahedrons,
that partition the cube. Each row represents one tetrahedron, and the row
elements are indices of points in X.
For three-dimensional tessellations, you can use tetramesh to plot the output.
However, using patch to plot the output gives you more control over the color
of the facets. Note that you cannot plot delaunayn output for n > 3.
This code plots the tessellation T by drawing the tetrahedrons using
three-dimensional patches:
figure, hold on
d = [1 1 1 2; 2 2 3 3; 3 4 4 4]; % Index into T
for i = 1:size(T,1) % Draw each tetrahedron.
y = T(i,d);
% Get the ith T to make a patch.
x1 = reshape(X(y,1),3,4);
x2 = reshape(X(y,2),3,4);
x3 = reshape(X(y,3),3,4);
h(i)=patch(x1,x2,x3,(1:4)*i,'FaceAlpha',0.9);
end
hold off
view(3), axis equal
axis off
camorbit(65,120)
% To view it from another angle
title('Delaunay tessellation of a cube with a center point')
2-30