This interactive visualization presents a 3D projection of a 4D hypercube, also known as a tesseract. In four-dimensional space, rotation occurs around a plane, not an axis. This gives a 4D object six fundamental planes of rotation. Use the sliders to rotate the tesseract through each of these planes.
Notice how rotations involving the fourth dimension (the 'w' axis) cause the 3D projection to morph and appear to turn inside-out. This is analogous to how the 2D shadow of a 3D cube deforms as it rotates in 3D space.