The geometry of a serpent: mastering the inside reverse fold

How to Make a Snake | Origami · 4:43 · Video: Howcast · Watch at the source

In short: Transforming a flat sheet of paper into a three-dimensional snake requires more than just folding; it demands a mastery of spatial geometry. By utilizing preliminary creases and specific structural maneuvers, you can manipulate a single plane into a complex, articulated form that mimics organic movement.

The construction begins with a series of foundational geometric maneuvers: a diagonal fold and multiple kite folds. These initial steps are crucial for establishing the 'regular base' of the model. By folding the outside edges into a central crease, the paper is shaped into a sharp point, creating the structural framework necessary for the snake's body.

A key technique used in this process is the 'preliminary fold.' Unlike the final structure, these are temporary creases made to map out the desired shape. By creating 'V' shapes and then opening the model back up, the folder establishes a blueprint. This allows for the precise execution of the 'inside reverse fold,' where the paper is pushed from the bottom to reverse a valley fold into a mountain fold.

The most complex part of the process involves creating the head and the body's articulation. By pushing the paper inward and reversing the spine, the model gains its three-dimensional character. To avoid a 'pointy nose,' a small backward inside fold can be added to blunt the head. For the tail, the model can be finished by curling the paper or by repeating a series of pleat folds and inside reverse folds to create a continuous, undulating body.

These techniques demonstrate how origami functions as a study of structural engineering. By manipulating the 'spine' of the paper through intentional reversals, the folder can transition from a 2D plane to a 3D object that suggests life and movement, all while maintaining the integrity of the original sheet.

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