<｜begin▁of▁sentence｜>### Instruction:
Imagine, as the dedicated principal of our esteemed academy, you are spearheading an educational initiative that explores the fascinating world of mathematical structures in our advanced geometry curriculum. As part of this intellectual pursuit, we are delving into the concept of distance-regular graphs with a particular interest in the icosahedral graph, notable for its geometric beauty and symmetry.

To augment our students' understanding of the interconnectedness within these structures, we propose a unique challenge: can we determine the underlying pattern that dictates the counts of vertices in relation to their distances from one another within this complex icosahedral graph? This pattern, known as the "intersection array," serves as a powerful tool for decoding the intricate relationships that define the graph's architecture.

Your mission, should you choose to accept it, involves integrating this computational analysis of the intersection array into our advanced geometry curriculum. By doing so, you will not only elevate our students' mathematical acumen but will also contribute a practical, real-world application to their educational experience.
### Response:
import networkx as nx
G = nx.icosahedral_graph()
b, c = nx.intersection_array(G)
print('Intersection Array:', (b, c))
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