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View Full Version : Naturally occuring numbers/sequences as the basis of a staking plan



Dr David
3rd February 2004, 11:24
Some numbers are known as naturally occuring numbers and are fundemental to our existence and way of life.

A couple that you may have come across is pi (the one to do with circles) and e (to do with exponential growth/decay).

pi = 3.141.....
e = 2.718.....

Although these are both naturally occuring and real numbers, they are not rational. They are irrational numbers (mathematically, irrational means that they are number which cannot be represented by (say) x/y where x and y are natural (positive whole) numbers with no common divisor other than 1. That means the decimal fractions (shown above) for pi and e never end - they go on to infinity.

The square root of 2 is another example.

Now those were naturally occuring numbers but, there is a naturally occuring sequence which suites a staking plan.

This takes its name after the man who discovered it - Leonardo Fibonacci.

He was an Italian mathematician and, in 1202, he pulished a paper on the reproduction of rabbits. To be more exact, how many could be bred from a single pair. This was a theoretical works as the fact that eventually some may die.

Never-the-less it was a significant breakthrough in the mathematical world.

In its most simlistic form the sequence is:

1, 1, 2, 3, 5, 8, 13,.........

Each number in the sequence is the sum of the preceding 2 numbers.

This sequence can be applied to many things such as, the number of spirals in a spiders web, the number of petals on flowers, the growth of germs or bacteria etc. etc. and is used such scientific fields as astronomy, chemistry, botany, psychology etc.

I doubt whether Leornardo bet on the horses but, we can put his findings to use.

As an alternative to the two most common staking plans (the Martingdale Plan - sometimes called the Double Up Plan, and the Cover to Win Plan, we can use Fibonacci.

One disadvantage with Martingdale is the low number of losers with which it can accommodate before the stakes go through the roof. For this one to work successfully you need a large bank and a selection system giving at least 50%.

Similarly, there are downsides of the Double Up Plan involving high stakes during a losing run.

Here come Fibonacci to the rescue. Well, really not exactly, but he does fit in between the other 2.

You will see that the stakes don't rise as much as with the others and it's a bit easier to follow.

With losing runs of 3 - 4 Fibonacci comes out on top providing a good profit. Although it does not give any guarantees (particularly after a bad run of 7+), it does reduce potential loses.