Metallic Ratios
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![Metallic Ratios Metallic Ratios and Angles of a Real Argument[v4] | Preprints.org](https://www.preprints.org/frontend/picture/ms_xml/manuscript/a918cccc504cce5b7d4e5343547000d0/preprints-97915-g007.png)






![Metallic Ratios Metallic Ratios and Angles of a Real Argument[v4] | Preprints.org](https://www.preprints.org/frontend/picture/ms_xml/manuscript/a918cccc504cce5b7d4e5343547000d0/preprints-97915-g001.png)









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