Metallic Means; The Geometric Substantiation of all Metallic Ratios
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
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.
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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Copyright (c) 2021 Chetansing Rajput
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All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.