Complex Base Systems

Complex Base Systems

In arithmetic, a complex base system is a positional numeral system whose radix is an imaginary (proposed by Donald Knuth in 1955) or complex number (proposed by S. Khmelnik in 1964 and Walter F. Penney in 1965).

Read more about Complex Base Systems:  In General, Binary Systems, Base −1±i

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Complex Base Systems - Base −1±i
... Of particular interest, the quater-imaginary base (base 2i) and base -1±i systems discussed below can be used to finitely represent the Gaussian integers without sign ... Base −1±i, using digits 0 and 1, was proposed by S ... a set of complex (non-integer) numbers that share the integer part of their representation in this system – has a fractal shape, the twindragon ...

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