MATHEMATICS AND ORIGAMI

Jesús de la Peña Hernández

Fig. 3 shows the folding lines to produce the twist, and fig. 4 is the result of the torsion

(obverse and reverse).

The rest of the process is easy to follow through Figs. 5, 6 and 7, also showing both

faces.

At Fig. 7 ́s obverse it can be seen the sides (discontinuous) of version n = 7; p = 2.

Likewise, in its reverse side it is shown once more the former version and also the version n=7;

p = 3 (partly hidden by the small central heptagon).

11.3 STELLATE POLYGONS: FLATTENING CONDITIONS

In connection with Figs. 2 and 3 (Point 11.2) to construct the stellate heptagon, one may

question:

The foldings at 1/2 – 1/4 to get the parallels through A, B, are they arbitrary, are they

correct under a geometric point of view, are they extensible to the rest of the stellate polygons?

Let ́s explore the matter looking (Fig 1) at the polygon of n sides (length L).

12

B

A

K

M

N

3

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