Explore a two-dimensional approach to arithmetic in this 50-minute lecture from the MathFoundations series. Delve into polynumbers written as columns and rows, and learn how these concepts combine to form bipolynumbers with rectangular coefficients. Discover the associated polynomials in two variables, alpha and beta, and their special significance as polynumbers. Examine topics such as row and column polynumber arithmetic, division examples, simplified arithmetic, two-dimensional arithmetic, and the multiplication and definition of bipolynumbers. Gain insights into coefficient labeling and the standard alpha-beta form. Conclude with practical exercises to reinforce your understanding of these advanced mathematical concepts.