Abstract— A numerical approach is proposed to explore relationships between constants. A subset of constants is assembled and a simple method is used to probe how each constant in the set might be related to a combination of the rest. The goal is to check if any of the constants can be expressed as a combination of two, three, or four constants using simple arithmetic operations (addition, subtraction, multiplication, division and power of positive and negative numbers). A software program, implemented in Python, was employed to search for such simple relationships. Some of the values found were within 10-11 accuracy. Others were simply esthetically pleasing like π≈7^7/8^6 and e≈π^7/1111. Last but not least, albeit long, we were able to find an expression for π with 1000 decimal places.

Index Terms—Numerical approximation, math constants, physics constants.

Tamara Azzam is with North Hills Preparatory, 7116 Sugar Maple Drive, Irving, Tx, 75063, USA.

Cite:Tamara Azzam, "A Numerical Approach to Discovering Relationships between Science Constants," International Journal of Applied Physics and Mathematics vol. 11, no. 3, pp. 50-60, 2021.

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