Problem statement
An dodecahedron is a regular polyhedron with 20 vertices and 12 pentagonal faces. It is also one of the five well known platonic solids.
A pentagonal mesh is simply a N x 5 matrix of positive integers where each row contains the vertex indices of a pentagonal face, and where N is the number of faces / pentagons.
Your task here is to mesh this octahedron. To do so, you will list the pentagons/rows in a matrix of faces, F.
The row order of the faces 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 top [1 2 3 4 5] and bottom pentagons, 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 -like on the figure included-, you can do for instance :
for n = 1:size(F,1)
fill3(V(F(n,:),1),V(F(n,:),2),V(F(n,:),3),[0 1 1]), hold on;
end
axis equal;
alpha(0.5);