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

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Complex Beta-expansion

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads for Complex Beta expansion |
---|

A Complex operators |

A Second derivative of a complex matrix |

**Physics Forums - The Fusion of Science and Community**