doodlebilliards

THE GEOMETRY OF A GOOD SHOT

Read the angles.
Play the table.

Where the cue ball goes next is not luck. It is geometry.

Check the ball values
A snooker table in warm window light, with a white cue ball in the foreground and a cluster of red balls and one black further up the green cloth
AI-generated image, not a photograph of a real person or place.

90° · 30°stun or roll

  • Stun: 90°
  • Roll: about 30°
  • Count to 147
  • Know where the white goes

Two simple rules from the physics of colliding balls tell you where the white will travel after contact, and the scoring of snooker rewards anyone who can predict it. Here are the angles, the numbers and a little history, in plain English.

Plain English, with the sources linked.

Updated

THE SHORT ANSWER

Stun it, roll it, count it.

Two angle rules and one scoring table
explain most of what happens on the cloth.

THE 90° RULE

Stun it

Hit the object ball with no topspin or backspin and the two balls part at a right angle.

See the rule

THE 30° RULE

Roll it

With natural roll, the white turns about 30° from its path across a wide range of hits.

How it works

THE SCORE

Count it

Fifteen reds worth 1 and six colours worth 2 to 7 make a maximum break of 147.

Check the values

A QUICK BALL CHECK

What is each
ball worth?

Pick a ball to see its value in snooker. The values and the order of play come from the official rules of the World Professional Billiards and Snooker Association.

A break is the run of pots a player makes in one visit to the table. The bigger the colour after each red, the faster it grows.

Ball check

Choose a ball
Red ball1 point

There are fifteen reds, each worth 1. After potting a red, the player chooses a colour as the next ball to pot.

Yellow ball2 points

The lowest colour. Once every red is gone, the colours must be potted in ascending order of value, starting here.

Green ball3 points

While reds remain, a potted colour goes back on its spot before the next stroke, so it can be scored again.

Brown ball4 points

Worth 4. Like every colour, it is re-spotted before the next stroke as long as reds are still on the table.

Blue ball5 points

Worth 5, and the fourth colour to go once the table is down to colours only.

Pink ball6 points

Worth 6, and the second-last ball of the frame when the colours are taken in order.

Black ball7 points

The top value. Fifteen reds each followed by the black, then all six colours in order, adds up to 147.

Values: WPBSA Official Rules of the Games of Snooker and English Billiards.

TWO RULES WORTH KNOWING

Spin decides
the angle.

The same contact point sends the white
in different directions, depending on how it is moving.

90°

Angle between the two balls after contact

When the cue ball strikes an object ball with no topspin or bottom spin, the two balls separate at a right angle. The rule is exact only for a stun shot, where the cue ball is sliding, not rolling, at impact.

STUN · THE 90° RULE

≈30°

Turn in the cue ball's path with natural roll

With natural roll, the cue ball's new direction stays fairly close to 30° from its original line for hits from about a quarter-ball to a three-quarter-ball. A half-ball hit, in which the cue ball's centre aims at the object ball's edge, gives a 30° cut.

ROLL · THE 30° RULE

Both rules come from the physics of two equal balls colliding. Real shots drift from them a little, because of friction between the balls and cloth, but they are a reliable starting point for where the white will end up.

A hand forming a bridge on green cloth with a wooden cue lined up behind a white cue ball and a red ball beyond
AI-generated image, not a photograph of a real person or place.

TRY IT NEXT FRAME

Four habits
for a straighter game.

  1. Master the stun first

    Strike the white near its centre so it slides into the object ball, then watch it leave along a line at right angles to the object ball's path.

  2. Use the peace sign

    For rolling shots, hold up two fingers in a V from the cue ball to picture the roughly 30° line the white will take after contact.

  3. Choose the colour for position

    After each red you pick the colour. Pick the one that leaves the white best placed for the next red, not only the highest value.

  4. Keep score of your breaks

    Count each visit out loud. A red and a black add 8 at a time, so it is easy to see how a long break builds.

TABLE FACTS

Five things worth
knowing.

  1. A mathematician wrote the first theory

    In 1835 the French mathematician Gaspard-Gustave de Coriolis published Théorie mathématique des effets du jeu de billard, a mathematical theory of the game of billiards.

  2. Billiard balls helped start the plastics age

    In 1863 a New York firm offered $10,000 for a substitute for ivory billiard balls. John Wesley Hyatt saw the advert and patented celluloid in 1870, though he never claimed the prize.

  3. Snooker began in India

    The WPBSA records that snooker was invented in 1875 by the British Army in Jubbulpore, now Jabalpur, in central India.

  4. The first official 147 came in 1955

    Joe Davis made the first officially recognised maximum break of 147 on 22 January 1955, in an exhibition match.

  5. The tolerances are tight

    A full-size table's playing area is 3569 mm by 1778 mm, give or take 13 mm, and each ball must be 52.5 mm across to within 0.05 mm.

Fifteen red snooker balls packed in a wooden triangle on green cloth, with a small blue chalk cube on the polished wooden rail
AI-generated image, not a photograph of a real person or place.

QUICK QUESTIONS

The table, answered.

Short answers to the questions people ask most.

What is the 90-degree rule in snooker and pool?

When the cue ball hits an object ball with no topspin or bottom spin, the two balls separate at 90 degrees. It holds exactly only for a stun shot, where the cue ball is sliding rather than rolling at the moment of impact.

What is the 30-degree rule?

When the cue ball is rolling naturally, its new direction after contact stays fairly close to 30 degrees from its original path across a wide range of hits, from about a quarter-ball to a three-quarter-ball hit. It is a rule of thumb, not exact.

Why is 147 the maximum break in snooker?

There are fifteen reds worth 1 point each. Taking the black, worth 7, after every red gives 15 × 8 = 120. Then the six colours are potted in order for 2 + 3 + 4 + 5 + 6 + 7 = 27 more, making 147.

How big is a full-size snooker table?

Under the WPBSA rules, the playing area inside the cushions measures 3569 mm by 1778 mm (11 ft 8½ in by 5 ft 10 in), with a tolerance of 13 mm, and the balls are 52.5 mm across, to within 0.05 mm.

Where was snooker invented?

According to the World Professional Billiards and Snooker Association, snooker was invented in 1875 by officers of the British Army in Jubbulpore, India, now Jabalpur.

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