Ok, I am completely taken over by bases, they're too fun. Recently i was working with base phi (1.61803..) and some complex bases such as quater-imaginary (2i) and 'dragon base' (-1+i) and i wondered:(adsbygoogle = window.adsbygoogle || []).push({});

->Is there an irrational complex base that can finitely represent positive integers?

Examples of previous radix systems:

base 10 => base phi => base 2i => base -1+i

3 =====> 100.01 ==> 3 =====> 1101

4 =====> 101.01 ==> 10300 ==> 111010000

5 =====> 1000.1001 => 10301 => 111010001

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# Complex Beta-expansion

Can you offer guidance or do you also need help?

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