Higher-dimensional algebra

Higher-dimensional algebra is like math in more than three dimensions. When most people think of math, they think of equations and shapes on a two-dimensional piece of paper. But higher-dimensional algebra is math in more than two dimensions - like a cube that has four sides, six faces, and eight corners. But higher-dimensional algebra is even more complicated than that - it's math in five, six, seven, or even more dimensions. It's like a cube, but with even more sides, faces, and corners. With higher-dimensional algebra, it's possible to solve problems that can't be solved in just two or three dimensions.