Interactive
Toys for the 4+D series. Pick one. Each is built to be played with, and each links to the post it belongs to.
cross-sections · the slicing principle
Slicing a shape one dimension down
An N-dimensional object cut by an (N−1)-dimensional flat gives a lower-dimensional cross-section. A round object only changes size. A faceted object changes its number of sides. Step up the dimensions and drive the slice yourself.
1D · point slices a segment
2D · line slices a shape
3D · plane slices a solid
4D · space slices a tesseract