Could two three-dimensional images create a four-dimensional one? Peter Lane/Alamy
Our eyes receive a two-dimensional image but our brains build a three-dimensional one. Could two three-dimensional images create a four-dimensional one, ad infinitum?
Simon McLeish
Lechlade, Gloucestershire, UK
Yes, it is possible to create a three-dimensional image of a four-dimensional object: a hypercube is the four-dimensional analogue of a cube, and it has a well-known three-dimensional image that looks like a cube with another cube nested inside it. It is even possible to represent this shape in two dimensions, as can easily be seen with a search online for “hypercube”.…
