tiled hex tessellation
1st step: pre-crease paper to preferred level of crease width- I’d
suggest 4 iterations of folding, minimum. (that’s 1/2, 1/4, 1/8,
1/16; 1/32 or higher will yield better results).
2nd step: identify “central” hexagon. it should have a two-pleat-
width radius from the center of the hexagon. This “central” hexagon
can be the exact center, or offset if that’s what you prefer. actual
location is irrelevant to the final pattern, although symmetry is
usually a preferred result. see illustration.
What we are doing with this fold is creating a valley around every
hexagon shape, which results in a tight grid of hexagons across the
entire paper. we’re folding the extra “valley” paper into the
triangular squash twist folds. see illustration.
3rd step: identify the two-pleat-wide “valley” that encircles your
central hexagon. This needs to be folded into a one-pleat-high
mountain fold all the way around; at the hexagonal vertex points, you
will need to fold it into a 3-way intersection. This also requires
that you fold the 3rd angle at the intersections into the same sort
of mountain fold- this should extend straight out from the vertex of
the hexagon. see illustration.