The biggest secret (almost approaching outright fraud) in tessellation
folding is that the very repetitive nature of the pattern tends to smooth
out the errors that usually accumulate when making a super-complex model.
And, even though individual cells of a finished tessellation can have gross
errors in them, the eye kind of smooths those out, too.

You all know of what I speak ... points that are not sharp, precreased
folds creaping away from their landmarks...

What I do is seek for robust, and error-tolerant methods.  Folding thirds
by successive pinches is a great example ... no matter how bad your first
guess, eventually you converge on those thirds.

My experience is that a global fold should have about 5 landmarks that I
try to eyeball a "least-squares" fit to.  And if the first few are wrong
... eventually things straighten out by the averaging process.

I really admire designers who recognize that errors are an integral part of
this art, and accommodate this as a feature, rather than as a flaw.

With best wishes,

Galen T. Pickett
https://www.etsy.com/shop/GeometricOrigami

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