Metallic Means; The Geometric Substantiation of all Metallic Ratios

Authors

  • Chetansing Rajput Dr. , ACST

DOI:

https://doi.org/10.24297/jam.v20i.9029

Keywords:

Metallic Ratio, Golden Proportion, Lucas Numbers, Pell Numbers, Right Triangle, Golden Mean, Silver Ratio, Divine Proportion, Pythagoras Theorem, Phi, Pi, Fibonacci sequence, Golden Ratio, Metallic Mean

Abstract

This paper introduces certain new geometric aspects of the Metallic Ratios. Each Metallic Ratio is observed to be closely associated with a special right triangle, which provides the precise fractional expression of that Ratio. This work explicates the geometric substantiation of Metallic Ratio, on basis of the right angled triangle which is the quintessential form of that particular ratio.

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References

Rajput, Chetansing (2021). Golden Ratio. JOURNAL OF ADVANCES IN MATHEMATICS, 20, 19–42. https://doi.org/10.24297/jam.v20i.8945

Rajput, Chetansing (2021). Golden Ratio and other Metallic Means: The Geometric Substantiation of all Metallic Ratios with Right Triangles. JOURNAL OF ADVANCES IN MATHEMATICS, 20, 174-187. https://doi.org/10.24297/jam.v20i.9034

Rajput, Chetansing (2021). Metallic Ratios : Beyond the Golden Ratio; The Mathematical Relationships between different Metallic Means. JOURNAL OF ADVANCES IN MATHEMATICS, 20, 158-166. https://doi.org/10.24297/jam.v20i.9023

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Published

2021-05-23

How to Cite

Rajput, C. (2021). Metallic Means; The Geometric Substantiation of all Metallic Ratios. JOURNAL OF ADVANCES IN MATHEMATICS, 20, 167–173. https://doi.org/10.24297/jam.v20i.9029

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Section

Articles