How many cylinders can touch each other?

In 1968, J.E. Littlewood asked whether it is possible to arrange seven identical infinite cylinders in three-dimensional space in such a way that each of them touches each of the others. The answer to Littlewood’s question is “yes”, as evidenced by the arrangements of seven cylinders shown above and below, which were constructed by Sándor Bozóki, Tsung-…