Basic pleating patterns
Use of flat sheets of material can have some advantages
in terms of cost and simplified construction.
Origami enthusiasts have traditionally studied what is possible with
flat sheets of material.
However, rather curiously seem to have left even some of the
basic corrugated patterns relatively unexplored.
Here are some of the fundamental patterns which can be created
by folding a flat sheet of paper:
Radial pleating
Parallel pleating
The parallel and radial pleating patterns above are the most
common ones.
Trapezoid pleating
Trapezoid pleating can be used to make tube and tunnel shapes.
There's a separate
page about trapezoid pleating.
Diamond pleating
Diamond pleating is a special case of trapesoid
pleating - and it shares some of its properties.
There's a separate
page about diamond pleating.
Triangular pleating
Triangular pleating is a lot like a stretched-out section of
diamond pleating.
Curved folds can also be used to generate pleating patterns:
Curved pleats
By approximating the above curve by a series of straight lines
other patterns are possible:
Herringbone pleating
There's a separate
page about herringbone pleating.
Note
For various reason this page currently explores what regular patterns are
possible without folding material back on itself.
By lifting that constraint, many more types of structure
become possible.
Links
Richard Sweeney
Ray Schamp
Joan Michaels Paque's paper work
Origami Joel
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