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Mike Sweeney

 ???  :D  :'(

A Putting Seminar: Finding The Target Line
 
1)  The Geometry of Putting on a Planar Surface
 
paper at:
     http://arxiv.org/abs/1106.1698
 
videos at:
     http://www.youtube.com/watch?v=Q6bvgIBPqrc
     http://www.youtube.com/watch?v=bzHjqjfFIY0
 
This is an extension of the original work by H.A. Templeton (Vector Putting).  It turns out there is a very beautiful underlying geometry to putt trajectories which amounts to the mapping of a circle onto a diamond.  While I know the math can be oppressive, the gist of the paper is summarized in Figs. 12-23, which are images of putt trajectories. The point to the paper is that when lining up a putt it is useful to look at putts a couple of steps to the left and a couple of steps to the right.

Jim_Kennedy

  • Karma: +0/-0
Re: Forget the architecture, read the paper - Vector Putting
« Reply #1 on: May 29, 2012, 05:42:26 PM »
The ultimate "Cheater" Line.
"I never beat a well man in my life" - Harry Vardon

Mike Nuzzo

  • Karma: +0/-0
Re: Forget the architecture, read the paper - Vector Putting
« Reply #2 on: May 29, 2012, 05:47:34 PM »
This is a good example of why greens shouldn't be planar.
Cool video
Cheers
Thinking of Bob, Rihc, Bill, George, Neil, Dr. Childs, & Tiger.

John_Cullum

  • Karma: +0/-0
Re: Forget the architecture, read the paper - Vector Putting
« Reply #3 on: May 29, 2012, 05:48:44 PM »
Good to see that the Yale Dept. of Applied Physics is spending their grant money well. This will be great for pace of play too.
"We finally beat Medicare. "

David Harshbarger

  • Karma: +0/-0
Re: Forget the architecture, read the paper - Vector Putting
« Reply #4 on: May 29, 2012, 07:33:03 PM »
Ok, that's cool.

Actionable info:

1.  There's a single target point for all equidistant putts to a hole cut on a plane.
2. The target point is directly above the hole.
3. The farther the putt, the higher the target.
4. The target is the same for all putts on greens with a common slope/Stimp product.

4 is quite interesting from a GCA perspective, as it effectively proves that some putting characteristics are mathematically equivalent along a strict inverse relationship between green speed and slope. 
The trouble with modern equipment and distance—and I don't see anyone pointing this out—is that it robs from the player's experience. - Mickey Wright