A pattern.............as the book "Music of the Primes".....put it.........curvilinear....................amongst other things.....................as the author mentioned 1/6 pi ^2.............one 6th pi squared.............I wonder why.....

Example: How Many Radians in a Full Circle?

Imagine you cut up pieces of string exactly the length from the center to the circumference of a circle ...
... how many pieces do you need to go once around the circle?

Answer: 2π (or about 6.283 pieces of string).