Source: Shane Jacobs
Lindon, Utah
05/01/2002
MINIATURE GOLF, MATHEMATICALLY SPEAKING

Dear PMGA, can you help explain the geometry behind a hold in one?

In answer to your question, I do have some terms and other useful information that will help you better understand the dynamics and mathematics behind miniature golf.

The "Hole in One coefficient" is based on several conditions, which effect the angle, speed and direction that the ball must be struck in order to get a hole in on. If all things remain constant, than the angle of approach must equal but not be more than 90 degrees perpendicular to the consequential passage of the 2nd vertex leading to the hole. If 2 or more angles are needed to complete the shot, then each angle must be equivalent to the opposite angle that it travels from. The speed of the putt, if no angles of embankment are used must be sufficient to overcome the "lag" effect of the friction of the carpet but not exceed the point in which a "hydroplaning" effect occurs. Thus producing a skipping effect and effectively illuminating any ability to judge the velocity of the put. Direction must occur in so that the putter face is perpendicular to the ball as to not conversely promote a negative spin or rotation on the ball that will overcome the nature of the surface. If this happens then the balls relative position in relation to the hole is changed in a way that neither the angles of approach are accurate or beneficial to the balls flight. If all conditions are met and angles are correct, the "Hole in One Coefficient" will succeed.

The proper term in which a ball hits the wall is the "Point of Deflection". This equals the initial angle of approach perpendicular to the outgoing angle of ejection. The only variable would be the material that the wall would be made of. Cement, plastic, brick or otherwise.

Here's hoping that this gets you going on your way to a fulfilling life in the world of Miniature Golf.

-- Shane