Observations on Hauy Rhombic Dodecahedral N umbers with Some Special Numbers

Authors

  • Ramachandran R PhD Schollar

Keywords:

Hauy Rhombic Dodecahedral Number; Stella Octangula Number; Centered Tetrahedral Number; Dodecahedral Numbers; Gnomonic Numbers.

Abstract

In this paper, the basic definition of Hauy Rhombic Dodecahedral Numbers and nasty numbers are given. The Hauy Rhombic Dodecahedral Number is taken into study and we prove this number is a combination of some special numbers. Also we investigate about relationships between the Hauy Rhombic Dodecahedral, Stella Octangula, Hex Number, Centered Tetrahedral and Gnomonic Numbers. For the clear understanding of the properties of special numbers we proved fifteen theorems. Sixteen special numbers are taken into consideration for this observation. The key points are given in the proof of the theorems.

Downloads

Download data is not yet available.

References

Ganam, A., & Anitha, B. “Sums of Squares of Polygonal Numbers”.

Advances in pure Mathematics, 6, (2016) 297-301.

Gopalan, M.A., Manju somanath & Geetha, K. “Observations on Icosagonal Number”. International Journal of Computational Engineering Research, 3, no.5.

Kenneth Ireland and Michael Rosel “A Classical Introduction to Modern Number theory”, 2nd edition.

Niven, Zuckevman and Montgomery. “The Theory of numbers”, 5th

Edition,Willey Publication.

P.Reka. “Some Properties of Triangular Numbers”. The International Journal of Analytical and Experimental Modal Analysis, 11, no. 12 (2019).

Thomas P. Denze and Joseph B. Dence, “Elements of the theory of numbers”.

Published

14-11-2024

How to Cite

R, R. (2024). Observations on Hauy Rhombic Dodecahedral N umbers with Some Special Numbers. Communications in Mathematics and Applications, 15(2). Retrieved from http://rgnpublications.com/journals/index.php/cma/article/view/2653

Issue

Section

Research Article