Generating Complex Folding Patterns
It has been shown that diamond pattern and herringbone pattern can be fold out of a parallel fold by
use of the reverse fold. The straight line of the main crease is broken and outlines the new shape of
the corrugation. For every pattern the line of the main crease has a characteristic form: convex
polygonal line for a diamond pattern and a zigzag line for the herringbone pattern. By drawing a
polygon line we can outline the general form of a folded pattern. The edges of the folds are parallel
to this form-generating line. They reflect on the external angle bisector of the polygon segments.
The distance between the centreline and the edge lines marks the amplitude of the folds (Fig. 9, 11,
12). As long as all the lines stay in the same plane this represents a completely closed pattern. In
order to deploy the edge lines, they have to be projected in a certain distance to the centre line: the
extension of the folds (Fig. 10).