15. Fibonacci X

There is another sequence we can make in a very similar way to the way we made the Fibonacci sequences, but instead of adding the last two digits together we can multiply them together.

This truly shows off the beauty of working with female numbers as the male math quickly escalates into extremely large numbers, remember we get the same female repeating pattern if we work with male or female numbers.

Lets start, we can’t start the sequence with 1 1 as multiplying them together will only create 1s, 1×1=1.

So we start our sequence 1 2 and we multiply them together. 1×2=2. so now lets keep multiplying the last two digits together.

The female pattern is

1 2 2 4 8 5 4 2 8 7 2 5 1 5 5 7 8 2 7 5 8 4 5 2 1

Amazingly we get a 24 digit sequence just like we did when adding. Lets draw this in a circle.

fibx1

We see that the 1s are where the 9s normally are and this makes some sort of sense, we can’t have a 9 in our sequence when multiplying as all we’d get is 9s and 1×1 will only create 1s it behaves like a 9. Also we get 8s where our 3s and 6s normally are. Polar pairs are now 2 & 5 and 4 & 7 just like in the multiplying section.

When using this method to generate a sequence we can’t start 1 3 lets see what happens

1 3 3 9

In fact we cant use 3s, 6s or 9s for this method, if any of the first two digits are from the 9 family group you quickly create just 9s.

The next sequence we can make using this method would start 1 4 multiply the last digits together and we continue.

1 4 4 7 1 7 7 4 1

An eight digit number sequence, one third shorter than the other sequence. We also notice that only digits from the 3 family group are created. lets draw it in a circle.

fibx2

Counting every third number on the 24 digit pattern we find the 8 digit pattern.

The last number sequence using this method starts 1 8 and is repeats very quickly

1 8 8

That’s it, just a 3 digit number sequence lets put that in the circle.

fibx3

Now if we count every 8 numbers on the 24 digit sequence we find this 3 digits sequences.

These three rings are all the patterns that can ever be created using this method. You can choose any two numbers and using this method you will create one of the 3 number sequences as long as neither number you choose is from the 9 family group.

There is a near perfect balance with each digit being represented six times each except the 1 which is only present 5 times.

We are going to be looking at these 3 rings in great detail next.

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