Explore the extension of maxels to integers in this 24-minute video lecture from the Data Structures Math Foundations series. Delve into the expanded representation of maxels on a plane covering all quadrants, and discover the broader implications for linear algebra and analysis. Gain insights into maxel addition, multiplication, and their significance in providing a more symmetrical perspective on mathematical concepts. Learn how this approach offers a fresh view on traditional mathematical understanding, potentially reshaping fundamental ideas in the field.