Metallic Ratios and Angles of a Real Argument
DOI:
https://doi.org/10.59973/ipil.55Keywords:
Metallic ratios; , Metallic ratios;, Metallic angles; , Pythagorean triples;, Emergent dimensionality; , Mathematical physicsAbstract
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.
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Copyright (c) 2024 Szymon Łukaszyk
This work is licensed under a Creative Commons Attribution 4.0 International License.
