<ul><li>Positive integers can be expressed as a sum of powers of the golden ratio (φ) using a binary-like number system called phinary.</li><li>This system allows coefficients of 0 and 1 in front of each power of φ and includes negative powers of φ to represent positive integers.</li><li>Phinary representations are not unique, but by enforcing the rule of non-consecutive 1s, unique representations can be achieved, similar to the Fibonacci number system.</li><li>The phinary system was discovered by George Bergman at the age of 12 and has since seen more sophisticated developments in mathematics.</li></ul>

Golden ratio base numbers

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