MATHEMATICS AND ORIGAMI

(Dana P.) #1

Jesús de la Peña Hernández


Fig. 34 is the simplest we can imagine; and most fascinating.
Fig. 35 is the only example among the last five in which a piece of paper is discarded after been
cut. It could be a Picassian mask that can adopt different attitudes.


Fig. 36 is as good for furniture design as for mural decoration.

Finally, Fig. 37 is a good example of what straight lines can produce when duly organised.

16 FLATTENING: RELATION BETWEEN DIHEDRAL AND PLANE ANGLES.


During transition from a plan 2D figure to the fold-flattened one (also 2D), 3D situa-
tions are produced bearing certain dihedral angles.
It would seam reasonable to seek the relations between those angles, plane and dihedral,
but the task is not neither direct not easy. Nor even for a figure so elemental as Fig.1.
We could figure out the solution by means of a rather cumbersome program of calculus
made expressly; it would have to solve the steps given by CAD, so we have decided to employ
just CAD.

36

37

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