MATLAB Mathematics - SERC - Index of

Adjacency Matrices and Graphs
To obtain the Bucky ball adjacency matrix, enter
B = bucky;
At order 60, and with a density of 5%, this matrix does not require sparse
techniques, but it does provide an interesting example.
You can also obtain the coordinates of the Bucky ball graph using
[B,v] = bucky;
This statement generates v, a list of xyz-coordinates of the 60 points in 3-space
equidistributed on the unit sphere. The function gplot uses these points to plot
the Bucky ball graph.
gplot(B,v)
axis equal
0.8
0.6
0.4
0.2
0
−0.2
−0.4
−0.6
−0.8
−1 −0.5 0 0.5 1
It is not obvious how to number the nodes in the Bucky ball so that the
resulting adjacency matrix reflects the spherical and combinatorial
symmetries of the graph. The numbering used by bucky.m is based on the
pentagons inherent in the ball’s structure.
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