It doesn't. There is no "mat" related to the game of English Billiards or Pocket Billiards.
Bar Billiards.
Billiards covers English Billiards, Carom Billiards, and Pocket Billiards, and each has their own set of rules.
The movement of the balls, after collision, obeys the laws of mechanics (a branch of mathematics).
You can see the different kind of penalties in the related link.
I have added one in the related links
Yes there are. You can see the different kinds of them at the related link.
You can get them by viewing the related link.
Rocks are related to math because of geology and in geology you use math.
The patterns they dance is related to math. How their body moves are related to math. How the brain signals our body to move is related to math. and... there are much more..
It is math related because the eclipse is science and the days are math because you have to count the days and math.
On units of 12