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Ramified branching network systems in nature can be similarly shown to generate the Fibonacci mathematical number series. Fibonacci Numbers and the Rabbit sequence Lining up the Rabbits Another way to generate The Rabbit sequence Computers use the Rabbit sequence!
Compare this with the picture we had of the Rabbit Family Tree where sometimes M is replaced by NM and sometimes by MN. Computers use The Rabbit sequence!
We see how a computer actually carries out the evaluation of a Fibonacci number using the Rabbit sequence secretly behind the scenes!
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Have you noticed how the A series is related to the Fibonacci numbers themselves?
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Now as we travel along the Phi line from the origin, we meet a sequence of 1s and 0s - the Rabbit sequence again!
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The rabbit sequence defined using the whole part of Phi multiples If we take the number Phi, which we have seen is closely related to the Fibonacci series, then it leads to another simple definition of the rabbit sequence.
The rabbit sequence defined using the fractional parts of Phi multiples Here is another method to generate the Rabbit sequence but this time using the bits we threw away above - the fractional parts of the multiples of Phi!
How do the repeated numbers relate to the rabbit sequence and how do the others? Do you recognise the sequence of differences?
You can use your browser to explore the non-repeating properties of the Fibonacci Rabbit sequence. A Fractal is a shape or sequence or system that is infinite and contains a copy of itself within itself.
Another way to make the Fibonacci Rabbit sequence Above, we started with M and then replaced M by MN.
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