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Abstract :

All natural numbers ( 1, 2, 3,….) and their square roots can be expressed (calculated) by only using constant Phi (golden ratio) and 1.

I have found a way to express all natural numbers and their square roots with simple algebraic terms, which are only based on Phi (golden mean) and 1.

Further I have found a rule to calculate all natural numbers >10 and their square roots with the help of a general algebraic term, based on Phi and 1.

The constant Pi (π) can also be expressed only by using the constant Phi (golden section) and 1 !