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There are interesting articles at
www.mcs.surrey.ac.uk/Persona...rep.html
www.mcs.surrey.ac.uk/Persona...its.html
and
en.wikipedia.org/wiki/Golden_ratio_base
regarding using the Fibonacci sequence and the ratio phi as bases for number systems, similar to binary, decimal, or hexadecimal. Fun stuff!
A Fibonacci-base number (and phi-base number) will have digits 0 and 1, and will not have any two consecutive 1s. All integers are representable as Fibonacci-base integers, and as terminating phi-based expansions.
www.mcs.surrey.ac.uk/Persona...rep.html
www.mcs.surrey.ac.uk/Persona...its.html
and
en.wikipedia.org/wiki/Golden_ratio_base
regarding using the Fibonacci sequence and the ratio phi as bases for number systems, similar to binary, decimal, or hexadecimal. Fun stuff!
A Fibonacci-base number (and phi-base number) will have digits 0 and 1, and will not have any two consecutive 1s. All integers are representable as Fibonacci-base integers, and as terminating phi-based expansions.
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