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IN 8l Fullerenes, balls and geodesic domes - The Times Hub

Fullerenes, balls and geodesic domes

Fullerenes, balls and geodesic domes

Buckminster Fuller (1895-1983), photographed in his office at the University of Illinois in 1967.

If in a tight bundle of hexagonal arrows we count 18 on the outside, as we saw last week , we can calculate the total of arrows from of a diagram like the one in the figure, in which it is easy to see that there are 37. And the diagram also shows, counting the successive layers, the sequence of the centered hexagonal numbers: 1, 7, 19, 37 …, whose nth term is 3n (n – 1) + 1. What relationship can we establish between the centered hexagonal numbers and the triangular numbers, seen in …

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