Binomial coefficients and their visualization

Abstract

In this paper, the authors present some of the results achieved by mathematicians who belonged to different cultures and lived in different time periods, but were engaged in determining (formula for determining) binomial coefficients. Also, the authors present a geometric interpretation of the binomial coefficients of the binomial expansion , for and present an idea for the visualization of both binomial and polynomial coefficients that they plan to experimentally test in the upcoming period.