Metallic Ratios and Pascal’s Triangle : Triads of Metallic Means in the Pascal’s Triangle

Chetansing Rajput

doi:10.24297/jam.v20i.9078

Authors

Chetansing Rajput Dr. , ACST

DOI:

https://doi.org/10.24297/jam.v20i.9078

Keywords:

Metallic Ratio, Pascal’s Triangle, Golden Ratio, Bronze Ratio, Pythagorean Triples, 3 6 9, Metallic Ratio Triads, Metallic Numbers, Right Triangle, Silver Ratio, Phi, Pi, Lucas, Pell, Fibonacci, Pythagoras Theorem, Metallic Mean

Abstract

This paper introduces the close correspondence between Pascal’s Triangle and the recently published mathematical formulae those provide the precise relations between different Metallic Ratios. The precise correlations between various Metallic Means can be substantiated with Pascal’s Triangle, as described herein.

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References

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Rajput, Chetansing (2021). Metallic Ratios and the Digits 3 6 9, Mathematical Relations between different Metallic Means, And the Special Significance of Digits 3, 6, 9 in the realm of Metallic Numbers. JOURNAL OF ADVANCES IN MATHEMATICS, 20, 167-173. https://doi.org/10.24297/jam.v20i.9029