This led to a discussion as to whether or not it is possible to have a number
system based on a non-integer base. Maybe the great minds of GIMPS
can contribute to this.
Base phi is easy to compute in. The similar Fibonacci representation counts the
integers as follows:
0,1,10,100,101,1000,1001,1010,1,10001,10010,10100,10101...
No number has two 1-bits adjacent.
Complex bases can also be used. i-1 is usable as a base, but i+1 is not,
because 2 cannot be finitely represented.
Gosper's representation uses seven digits, the sixth roots of 1 and 0, in base
2.5+sqrt(-3/4).
phma
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