Folding Stamps

Source: Dave Richeson @divbyzero and Henry Dudeny.

The following is perhaps best attempted with a physical prop.

Yesterday's puzzles seem to be a hit, so here's another one, due to Henry Dudeny. Fold the paper so the squares end up in numerical order (1 on top, 8 on bottom, sequential in between, not necessarily "face up" in the stack, as shown). The first one is easier than the second. pic.twitter.com/oRGXl90mKp

— Dave Richeson (@divbyzero) October 5, 2022

Here’s a bit from the original source:

Screenshot of a text containing the original problem