Hi Artemy,
Me again. I left out an interesting part to my unanswered question. By defining the 1-dimensional length of a line as 2*R and using the length of the circumference of a circle, 2*π*R, as the main multiplier, I can generate all the volumes of hyper-covers and hyper-balls simply by multiplying by 2*π*R and then doing a simple integration (simply a reverse differentiation) over and over. I am not sure if that’s how they really generate the tables, but the articles don’t say so.
Ciao again,
Bruce