Exploring the Fourth Dimension: A Journey into 4D Geometry

This article uses engaging analogies to explain the concept of the fourth dimension. By imagining a 2D being observing a 3D object, the author illustrates how we might perceive a 4D hypercube. It clearly explains how to understand 4D geometry through cross-sections, and utilizes rotation matrices and linear algebra to calculate and visualize the projection of a rotated hypercube into 3D space, resulting in complex geometric forms.