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Comment by avhon1

11 hours ago

Seems like you can

https://origamiusa.org/thefold/article/diagrams-one-cut-hept...

The one cut is to remove the perimeter of the square that lies outside the heptagon. Without the cut, you could make a crease, and fold the excess behind the heptagon.

My reading is that it's a convenient near-7 approximation someone developed, like using 22/7 for pi.

Certainly good enough for practical handheld construction purposes, but not geometric-proof-y stuff.

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        Scimemi, Draw of a regular
        heptagon by folding.
        Proceedings of the 1st
        International Meeting of
        Origami Science and 
        Technology. 1989
    

    Simultaneous folding is mathematically a strictly more powerful primitive.

    Are you familiar with Lill's method of finding real roots of polynomials of any degree ? Simultaneous folds are a realization of the same idea

    https://en.m.wikipedia.org/wiki/Lill%27s_method#Finding_root...