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Metallic Ratios and Angles of a Real Argument

Authors

Szymon Łukaszyk Lukaszyk Patent Attorneys, G lowackiego 8, 40-052 Katowice, Poland

DOI:

Keywords:

Metallic ratios; , Metallic ratios;, Metallic angles; , Pythagorean triples;, Emergent dimensionality; , Mathematical physics

Abstract

We extend the concept of metallic ratios to the real argument n considered as a dimension by analytic continuation showing that they are defined by an argument of a normalized complex number, and for rational n ≠ {0, ±2}, they are defined by Pythagorean triples. We further extend the concept of metallic ratios to metallic angles.

References

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