Tips / Systems

Long–long–short Base 40 LLS Base 40 · no English

A path that hits two long rails in a row and then goes to a short rail. Learn the no-English reference that adds the second-cushion number to the start number to find the first aim point.

Formula / route reference

First cushion A = start S + second-cushion target B (long-rail start · Ef-0)

When to use it

A path that crosses long → long → short. Uses only the top-tip, no-English Ef-0 and the basic long-rail start range from Ssamjang’s LLS material.

Written and edited by TTBoys · How we write and check sources · Report an error

Sources and diagrams reviewed: 2026-10-10. Rules of thumb are practice references for a specific diamond scale and stroke. Geometric constructions are kept separate from real trajectories, and nothing was measured on a real table. On mobile, the table stays in landscape so the directions in the text match the diagrams.

Compare in the simulator

Presets are comparison examples from a physics model; they do not guarantee the formula's real-world accuracy or a point.

What do you read from the layout?

Start 35: 5 per diamond on the long rail.
2nd-cushion target 5: read it on the long rail on the starting side.
First cushion 40: 35 + 5, four diamonds on the opposite long rail.

Slope and correction: This example hits the first object ball first, so read start 35 from the path after the collision. Don’t add the cue ball’s position before the collision or a separate angle number.

See the worked example and layout See related practice

If you’re new, go in this order

The ‘40’ in Base 40 is the number of the corner on the starting side. It doesn’t mean aim at 40 every time or add 40 to the formula. Here the white target is not the final third cushion but the second, long rail. Also keep it apart from the ideal mirror formula in the other no-English article.

1. Separate the start, the first aim and the second target

The red start numbers and the white second-cushion targets on the same long rail play different roles. The beginner drawing shows only the source’s long-rail start scale and the second-cushion targets 5·10·15.

Start S: 5 for every diamond from corner 0, 40 at the opposite corner
First cushion A: the basic 0–40 range, 10 for every diamond
Second-cushion target B: from the opposite starting corner, 5 at one diamond, 10 at two, 15 at three

Read the start line by extending the cue ball’s path after the object ball contact backward. Red 35 is one diamond from corner 40. Don’t use the mark right next to where the cue ball originally sits.
Set the white target 5 on the long rail the ball comes back to after the first cushion. This 5 is not first-cushion 5 or third-cushion 5.
Here you learn only the long-rail start. In the same source, a short-rail start counts 10 per diamond on the second cushion, so don’t mix it with this table’s 5 per diamond.

2. 35 + 5 = 40, aim at the first long rail

35 + 5 = 40 → first cushion 40

Cue ball → yellow object ball 1 → first long rail ① → target 5 on the opposite long rail ② → short rail ③ → toward the red object ball 2. It uses the two long rails first, so it differs from the long → short → long of Five & Half.

The white dot is a point on the cue ball’s start line after the object ball contact. Extend the line toward the first aim 40 backward and you get start 35. The white 5 is the next target on the second long rail; the whole path is not drawn yet.

The adopted Ef-0 is a top tip position with no left or right spin. It doesn’t mean a center tip or a state with no spin at all. The source also uses Base 45 and 50 depending on the amount of spin, but this beginner article does not mix in those tables.

Check yourself: Long-rail start 30, second target 10: what is the first-cushion number?

30+10=40. On this table the second target 10 is two diamonds. If the result goes above 40, it is past the first-cushion range of this beginner drawing, so don’t keep extending the numbers at 10 per diamond; check the source’s extended table.

3. Check long → long → short

Start practicing in a small range, close to the source’s 35+5=40 layout. Check the actual arrival using the same top tip position and a smooth, consistent stroke. No fixed speed or hard hit is given as the answer.
Hitting the object ball changes the separation angle and the spin. First check that the direction after contact heads to first cushion 40, then see whether the ball comes to 5 on the second cushion.
What this formula sets directly is the first aim and the second target. Whether the ball also makes the third short rail and the last object ball depends on the layout and stroke, so check that separately.

The drawings are concept diagrams that show which numbers to read and the order of balls and cushions. They are not measured paths that reproduce ball size or the spin and speed after contact. Practice with the same tip position and power, and adjust on a real table.

Practice with the example layout

Back to the worked example and layout ↑

Follow first object ball → 40 on long ① → 5 on long ② → short ③ → second object ball. The formula connects up to the second long rail, so also check the path toward the ball after the last short rail.

Point to the cue ball, the ball you hit first and the last ball, and say the cushion order.
Repeat the same layout 5 times and record where the first cushion and the calculated target actually land.
If the first cushion is already off, check your aim and thickness; if the first cushion is right but later ones drift, check spin and speed. Change only one thing for the next 5.

Sources and verification

쌈장의 3구 교실 · 장장단(LLS) 시스템 - 리버스 엔드 응용 — Checked the Ef-0 / Base 40 drawing, the 35+5=40 example, top tip with no English, and how the second-cushion scale differs for long- and short-rail starts.

Sources may use different diamond scales and conditions. The text notes which scale it uses and the limits of what was checked; the diagrams are our own concept drawings.