Polyhedra and polytopes30 of 113
Regular 4-polytopes
Ludwig Schläfli, 1852
Four dimensions hold six regular convex solids, one more than three dimensions do. We can only see their shadows: each turns here in two planes at once, through the fourth axis, then is projected into our space the way a cube’s shadow falls on a wall. The tone of a line marks how far it lies along the fourth axis.
rotation in the (x, w) and (y, z) planes
On mathcurve.com as Polytopes réguliers de dimension 4
Variant
Elsewhere
1Work the library cites and does not hold: in copyright, never released as a file, or not a file at all. The cited shelf
- 1954
Crucifixion (Corpus Hypercubus)
Christ hangs before a cross made of eight cubes: the net of a tesseract, the four-dimensional cube unfolded into our space the way a cube unfolds into six squares.
Not yet checkedSuggested by an AI model, 2026-10-08
An AI reviewer had doubts, 2026-10-09: The shape entry says "Four dimensions hold six regular convex solids, one more than three dimensions do," but it never mentions the tesseract or an unfolded cube net. The Met record lists only Women, Christ, Cross and Crucifixion, so nothing in the evidence shows a cross of eight cubes, and there is no picture to show it.