golden ratio base

In these systems, the number of different numerals used clearly cannot be b. Example: Golden ratio base (phinary).

An early beta encoder, the Golden ratio encoder used the golden ratio base for its value of beta, but was susceptible to hardware errors.

However, other positional systems are possible, e.g. golden ratio base (whose radix is a non-integer algebraic number), and negative base (whose radix is negative).

It has been noted disquisitively that the number 1001 of Duchamp's entry at the 1912 Indépendants catalogue also happens to represent an integer based number of the Golden ratio base, related to the golden section, something of much interest to the Duchamps and others of the Puteaux Group.