Golden ratio base numbers
SMRTR summary
The golden ratio φ forms the basis of the "phinary" number system, expressing positive integers as sums of φ powers with 0 and 1 coefficients. Analogous to binary, it uses negative φ powers for some integers. Phinary representations are unique when consecutive 1s are prohibited. Remarkably, this system was discovered by 12-year-old George Bergman in 1957. Mathematicians have since expanded on and studied the phinary system further.
SMRTR provides this summary for quick context. The original article belongs to John D. Cook.
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