Once this computer program was up and running, Lorenz could produce long-term forecasts by feeding the predicted weather back into the computer over and over again, with each run forecasting further into the future. In this case, Lorenz’s equations were causing errors to steadily grow over time. In the interests of saving time he decided not to start from scratch; instead he took the computer’s prediction from halfway through the first run and used that as the starting point. The starting weather conditions had been virtually identical. Lorenz was utilising the new-found power of computers in an attempt to more accurately predict the weather. This meant that tiny errors in the measurement of the current weather would not stay tiny, but relentlessly increased in size each time they were fed back into the computer until they had completely swamped the predictions. No matter how consistent you are with the first shot (the break), the smallest of differences in the speed and angle with which you strike the white ball will cause the pack of billiards to scatter in wildly different directions every time. This time it remained there.

There was no chance for him to overhear any conversation, for he was always sent out of the way when the two were closeted together. Some systems flip this premise around, with orderly effects emerging out of turbulent and chaotic causes. And how can we tell the difference between pure randomness and orderly patterns that are cloaked in chaos? It is worth noting that the laws of physics that determine how the billiard balls move are precise and unambiguous: they allow no room for randomness. Stripes. Object balls which are white and have different bands of color around their middle. What at first glance appears to be random behaviour is completely deterministic - it only seems random because imperceptible changes are making all the difference. Chaos (n): the inherent unpredictability in the behaviour of a complex natural system. Chaos Theory is a delicious contradiction - a science of predicting the behaviour of "inherently unpredictable" systems. At the centre of Chaos Theory is the fascinating idea that order and chaos are not always diametrically opposed. That idea by itself is not enough to make a game. And I have seen lawns where only the masters and not the undergraduates may walk, and staircases where only the graduates and not the students may play billiards; I have seen professors in rabbits’ fur and cloaks as red as lobsters, I have seen the graduates kneel and kiss the hand of the Vice-Chancellor; of all these wonders I have been able to make a drawing only of one venerable college provost, who poured out for me a glass of sherry at least as old as the elder Pitt.

A difference of one part in a thousand: the same sort of difference that a flap of a butterfly’s wing might make to the breeze on your face. That on his bowling is particularly frustrating, as it leaves its reader little wiser at the end than he was at the beginning as to exactly what sort of bowler Astill was. The little man was always considerate, and he had noticed the flurried and nervous manner of his bookkeeper. We all admire the gentlemanlike courtesy with which some accept their fate, and play with some opponent of about the same age, or in congenial foursomes; but how painful, and yet how humorous is the sight of a man who under similar circumstances becomes irritable, fussy, fidgety, a pitiful sight to men and angels. Had he waited until now he would not, thanks to the inexorable march of Anno Domini, have been able to talk to more than a dozen cricketers who played with or against Ewart Astill, nor Colin Cowdrey who was coached by him at Tonbridge School. More recently with customers buying tables on EBay and other auction sites, we are asked to collect and restore billiard tables for them which opened up another avenue.

Why is it more of a trial to nerves than billiards, which is wholly a question of strength with a reasonable amount of accuracy? The most common failing of such players is that they hit too hard; an easy stroke is one which will be succeeded by another easy stroke if the proper strength is applied, but the striker is afraid of missing the stroke and hits too hardy and the balls are scattered and the break lost. They are easy to assemble, good quality and we always receive great feedback regarding this pool table. Open table. The target balls are not yet determined. 3. What are the symmetries of the arithmetic billiard path (as a geometrical figure)? These bungalows are objectionable places to put up in. Lorenz soon realised that while the computer was printing out the predictions to three decimal places, it was actually crunching the numbers internally using six decimal places. Although the computer’s new predictions started out the same as before, the two sets of predictions soon began diverging drastically. Mrs. Scully's exuberant hospitality included, as already intimated, not only her own friends, but those of her fellow-boarders, so that from an early hour the rooms began to fill, and by nine o'clock there was hardly space for the dancers.

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