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What this answers

Where should you aim this putt, and how fast must it start?

  1. Set where the ball sits around the hole, then the putt’s length, slope, green speed and pace.
  2. Follow the putt from above: it starts toward the aim mark and curls down the slope into the hole.
  3. Read the aim, break and starting speed in the tiles. Around the hole shows putts from every side.

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Starting setup

PublishedGrober’s 10 ft example putt, on a USGA medium‑speed green

From above · 10 ft putt from 8 o'clockModel v1
Overhead view of the putt
Overhead view, uphill at the top: a 10.0 foot putt from 8 o'clock on a 2.0% slope, green speed 10.0 feet. Aim 8.2 inches left of the hole's center; the path bends 2.7 inches from the straight line.Fall lineUphillDownhillContours every ½ inof height, 2.0% slopeBreak 2.7 in8 o'clock
At the holeClose-up, uphill at the top
Close-up of the hole: the target line passes 8.2 inches left of the hole's center.Uphill ↑3 inAim8.2 in L
AimAimWhere the start line passes the hole: inches left or right of its center. The line below measures it from the hole’s edge instead.
8.2in left
6.1 in outside the left edge
ModelGrober 8.1 in
BreakBreakThe farthest the ball’s path strays from the straight line between the ball and the hole.
2.7in
From the straight line
Model
Starting speedStarting speedHow fast the ball must leave the putter, in feet per second, to reach the hole at the chosen pace. The line below gives its start direction from the line to the hole.
6.8ft/s
Starts 3.9° left of the hole
Model
Level-green lengthLevel-green lengthThe level putt, at the same pace, that needs the same starting speed. Longer than this putt means it is uphill; shorter means downhill.
11.4ft
Uphill: same stroke on a level green
Model

The chart shows Grober’s 10 ft example putt. The controls need JavaScript.

Show the numbers as a table
The putt, the model’s results and where each number comes from
Putt length10.0 ftGrober, Fig. 1
Position8 o'clockGrober, Fig. 1
Slope2.0%Grober, Fig. 1 (20 ft-%)
Green speed10.0 ftUSGA medium, regular play
PaceFinishes 18 in pastGrober’s convention
Aim8.2 inches left of the hole's centerModel (Grober’s figure: about 8.1 in)
Aim, from the edge6.1 in outside the left edgeModel
Break2.7 inModel
Start line3.9° left of the holeModel
Starting speed6.8 ft/sModel
Level-green length11.4 ft: the same stroke on a level greenModel
Speed at the hole’s edge2.6 ft/sModel
Fastest a centered putt drops5.4 ft/sModel, from Holmes (1991) via Penner (2002)
Time to the hole3.5 sModel
The path, measured from the straight line to the hole
Along the lineOff the line
0.0 ft0.0 in
1.4 ft1.1 in
2.7 ft1.8 in
4.0 ft2.4 in
5.1 ft2.6 in
6.2 ft2.7 in
7.2 ft2.5 in
8.0 ft2.1 in
8.8 ft1.5 in
9.4 ft0.9 in
10.0 ft0.0 in

Model: R. D. Grober, “The Geometry of Putting on a Planar Surface” (2011). Capture limit: Penner 2002.

For learning and practice. During a round, the Rules of Golf limit equipment and green-reading materials: Rule 4.3 and the 2019 limits on green-reading materials.

For your gear

Reading the line is half of it

  • Starting the ball on your line

    A small error in the start line grows into inches at the hole. A putter that suits your stroke makes that line easier to repeat.

    Putter Finder
  • A head you can aim

    Choose the head shape you find easiest to aim, then check that its balance suits the way you move it.

    Blade or mallet? Choosing a putter
  • Eyes over the line

    Putter length changes your posture and where your eyes sit, which changes how the line looks to you.

    How to choose putter length

Method

How it is calculated

The ball rolls on a perfectly flat, tilted green. Five sevenths of gravity’s pull down the slope acts on a rolling ball, and the grass slows it by a constant amount set by the green speed. The equations and the 18-inch pace come from Robert Grober’s paper, “The Geometry of Putting on a Planar Surface”, which builds on Penner’s physics of putting.

Checked against the paper’s own figure of the target diamond, 30 putts from 5 to 15 ft, the model is within 0.24 in everywhere, 0.07 in on average. It ignores grain, undulation and the ball’s first skid off the face.

The full method, the checks and the sources are on the Golf Lab methods page.