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As we say, it seems very unlikely Shakespeare ever played any form of billiards. "All that glisters is not gold," said Shakespeare. Purely for the sake of simplicity (because it doesn’t affect my argument at all), let’s say it’s a closed, deterministic, well-mixed system with no population structure or evolution or anything like that, so we can describe the dynamics with just two coupled equations, one for prey dynamics and one for predator dynamics. And again for the sake of simplicity, let’s say it’s a constant environment and there’s no particular time at which organisms reproduce or die (e.g., there’s no "mating season"), so reproduction and mortality are always happening, albeit at per-capita and total rates that may vary over time as prey and predator abundances vary. You knock over the first domino, which knocks over the second, which knocks over the third. In 9-ball, you rack up only the first nine balls, in a diamond formation. A number of rules have developed which detail what must be done when one or both of the cue ball and fifteenth object ball are either in the rack area at the time an intragame rack is necessary, or are in such close proximity to the intragame racking area, that the physical rack cannot be used without moving the one or the other.

Your cue strikes the cue ball, causing it to roll into another ball, causing that ball to roll into the corner pocket. Whichever you choose, the rules should be the same for both table scratches and pocket scratches. In carom billiards games, when all the balls are kept near each other and a cushion so that with very soft shots the balls can be "nursed" down a rail, allowing multiple successful shots that effectively replicate the same ball setup so that the nurse shots can be continued almost indefinitely, unless a limit is imposed by the rules. Remember, the colors are the same as in 8-ball. The 1-ball is yellow, the 2-ball is blue, the 3-ball is red. Even when there are no more red balls, the run to the end, where players aim to pot the balls in ascending point order, ends with the 7-point black ball.All except 9-ball pool, where the reward that clinches the game is golden. Is there a better way to express this? Like history, ecology is (mostly) not "just one damned thing after another." But it’s hard not to think of it that way, and to teach our students not to think of it that way.

You might think that’s self-evident, but hey, there were 15 balls and the cue ball in a friendly game of 8-ball, so you should pretty much assume nothing in billiard games. When humans think about causality, they find it natural to think in terms of sequences of events. That means if you decide you want to play strictly in number progression, the color order is a handy hint to find the next ball you need to play. In most cases, there’s no need to pot the balls in numerical order, except the 8-ball, which can only be safely potted when all your other balls are gone. You’ve got some prey that reproduce and die, and some of those deaths are due to predators. Predators convert consumed prey into new predators, and they die. But in more serious games, where there may be betting on the results, the color of the balls usually reverts to the yellow, blue and red combination. Unlike most other billiard games, there are two balls that have to be placed on specific spots. Each time a ball is roqueted, the striker gets two bonus shots. After this, players elect at the start of each turn which of their two balls to play for the duration of that turn.

Three balls are selected, with the addition of just the one solid white cue ball, and a player plays a speed round. As with 8-ball, the cue ball is solid white to differentiate it from all the other balls. Mastering the correct stance, cue techniques, angles, and strategies all are quite overwhelming at first. The balls are racked up in a traditional pyramid, and there’s no particular order in which the balls should go into the triangle. Except, that is, for the 8-ball itself, which like the treasure in an Egyptian pyramid, should be right at the centre of the pack. The 4-ball is purple, the 5-ball is orange, the 6-ball is green, the 7-ball is brown and the 8-ball of course is black. Any break composed entirely of red balls and black ones until the final clear-up is likely to be a game-winning run. It’s interesting that apart from original billiards, 9-ball is the only variant so far not to have the black ball as its ultimate aim, the pinnacle of the game. 3-ball pool is a relatively young variant on the original billiards. This means that the original game of billiards existed even before billiards was named by the French.

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