Problem statement
An icosahedron is a regular polyhedron with 12 vertices and 20 triangular faces. It is also one of the five well known platonic solids.
A triangulation, or triangulated mesh, is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles.
Your task here is to mesh this icosahedron. To do so, you will list the triangles/rows in a matrix of triangles, T.
The row order of the triangles in the list doesn't matter.
Tip
- Vertex indices are written on the figure below; use it to help you visualize;
- You can start with the triangles of the top cap and bottom cap, they are the easiest ones to identify here.
Forbidden functions / expressions
- regexp
- assignin
- str2num
- echo
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To visualize and check your result you can do for instance :
trisurf(T,V(:,1),V(:,2),V(:,3));
colormap([0 1 1]);
axis equal, alpha(0.5);