Henry Ernest Dudeney/Modern Puzzles/Geometrical Problems/Paper-Folding Puzzles

Henry Ernest Dudeney: Modern Puzzles: Geometrical Problems: Paper-Folding Puzzles

$120$ - The Ribbon Pentagon

I want to form a regular pentagon, but the only thing at hand happens to be a rectangular strip of paper.

How am I to do it without pencil, compasses, scissors, or anything else whatever but my fingers?

$121$ - Paper Folding

Suppose you are given a perfectly square piece of paper,

how are you going to fold it so as to indicate by creases a regular hexagon,

as shown in the illustration, all ready to be cut out?

$122$ - Folding a Pentagon

If you are given a perfectly square piece of paper,

how are you going to fold it so as to indicate by creases a regular pentagon,

all ready to be cut out?

$123$ - Making an Octagon

Can you cut the regular octagon from a square piece of paper without using compasses or ruler,

or anything but scissors?

You can fold the paper to make creases.