The math billiards players use to understand how the shot, spin and collision work in their game is a series of formulas and mathematical laws. The physics and math of billiards makes this a sport many engineers and other mathematically minded people enjoy. However, even if you don’t know what an integer is, the understanding of simple triangles or diamonds will help your pool game.
In 1959, Donald Duck explained in a short film Donald in Mathmagic Land how the reflections and bounce of a billiards ball works through understanding the diamonds and angles. This simplistic explanation of the mathematical laws of ergodic theory and dynamical systems explains that the angle of incidence equals the angle of reflection. The practical explanation is that the incoming angle the ball to the bumper is the same angle as the outgoing path.
The math billiards players should be most concerned about is the geometry of angles. Euclid or Thales’ Theorem explains that the path of the cue ball after it has hit the object is at a right angle to the path of the object ball. This theorem is important to understand to prevent a scratch, and for setting yourself up for the next shot.
However, billiards is a more multifaceted game than just determining the dynamical path of the cue ball. Unfortunately, the dynamical system does not take into account friction or any curves to the path of the ball. There are many complex formulas that explain why the balls move and rebound in certain ways. For most people, understanding the mathematical explanation for spin and friction will not improve their game as much as the practical understanding that friction or back spin can help align the cue ball for their next shot. Practice not complex mathematical formulas will help most billiards’ players.
Take a look at some Math Billiards Here.