Advanced mathematics study notes, also a form of applied learning 【官方双语/合集】线性代数的本质 - 系列合集
The two-dimensional foil is a kind of weapon in “The Three-Body Problem” that compresses three-dimensional objects into a two-dimensional plane.
This process can be explained mathematically as a linear transformation, where the new basis vectors span a plane (if the spanned space is a line, it becomes a dimensionality reduction to a line; if it’s a point, it reduces to a point).
For example, a 3x2 matrix maps all atoms in three-dimensional space onto a two-dimensional plane.
From this perspective, the Singer civilization should be able to record the positions of atoms within a certain range and perform large-scale positional transformations. However, this is only a theoretical assumption; I find it hard to imagine the specific engineering implementation.