Herringbone pleating - first order
Unlike the more common parallel pleating the first order
herringbone pattern offers resistance to bending in all
directions - and might therefore find applications in the
construction of corrugated materials.
Herringbone pleating - second order
Here's a herringbone pleating pattern that uses more
vertices to more closely approximate the curves in the
curved pattern shown above.
These patterns can be viewed as linear approximations of
the basic pleating pattern with curved folds:
Curved pleats - the basis of herringbone pleating
Other similar patterns can be created by approximating the above
curve by straight lines in various different ways.
Herringbone pleating appears to be understudied -
though there has been some related work on
"herringbone buckling patterns".
One historical use for herringbone pleating is map folding.
There is a folding technique known as the Miura-Ori map which employs the pattern.
Miura-Ori map folding
The pattern has been used to deploy solar panels in space.
Implementing herringbone pleating
It is not always easy to find valid structural reasons for
using herringbone pleating.
However there may sometimes be a case to be made for it on
For example, if one were constructing the roof of a swimming
pool or an aquarium, then a "wavy" pattern on roof may be
Ridge cables can typically be made to adopt a zig-zag pattern
by using a supporting structural framework that has that
However valley cables cannot be so easily manipulated.
If the underlying curved pattern is not too
pronounced, it may still be possible to use roughly
straight valley cables - with the membrane pushing
the cables into a slightly curved path.
If that is not possible, implementors are faced with a
rather unpleasant choice between replacing valley cables
with pull-down cables, having the cables penetrate the
fabric, or covering the "outside" of the structure with a
framework to support the cables.
Geometric Paper Folding: Dr. David Huffman
A Paper Folding Project - by Paul Haeberli
Miura-Ori - map Folding
Miura-Ori - on YouTube
Miura-Ori - acoustic baffling
fold.oclock.am - by Ray Schamp
Miura-Ori - origami by Ray Schamp
Joan Michaels Paque
Yuko Nishimura (hit the links on the right)
Membrane folding techniques [PDF]
Deployable membranes designed from folding tree leaves [PDF]
F. Ciment (pleating) - fancy pleating page
Bored at Work #1 (Pleated Origami)
Pleated chevron scarf
Shaped pleating form
Large, hastily-folded sheet