Mathematics and OrigamiIt is not the first time that scissors are mentioned in this book. Now, though, we are going to
use a cutter instead, and help out ourselves with a pencil.
We know that strict paperfolders forbid the use of pencil and scissors, but as this book is not
only origami but is also mathematics, we can afford certain licenses.
Basically cutting, in combination with folding and the use of geometric resources such as
revolutions, translation, symmetries, etc., will allow us to get 3D forms out of elemental 2D diagrams.
The results are figures of a sober beauty apt for architecture or sculpture. As it is common in these arts,
the light is a basic ornament of these forms. We cannot forget the contribution of R. Razani or M.
Chatani.
The process 2D → 3D reminds the infantile tale books in which, when passing a page, a new
episode appears with the princess in her garden deployed open in space; or the theatre scene, or the
wild forest full of fierce animals: all very rococo to call the reader ́s attention. Where scissors are not
shown, the cut is simply indicated by a dotted line.
In Fig. 33 we have what could be the cover for square plan, e.g. of a church.33
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