MATHEMATICS AND ORIGAMI

(Dana P.) #1
Jesús de la Peña Hernández


  1. Glue B / B; three twists; three cuts. Result: two independent bands, both with a length dou-
    ble than the original and width 1 / 4, interlaced each one with itself and both between them-
    selves. See Fig. 9 where one of the bands is outlined.


After the foregoing one can imagine how many possibilities the Möbius bands
can render. Not needed to add that playing with the length, width and curvatures of the bands
we can obtain very beautiful figures.

14.2 FLEXAGONS


We can define the flexagon as a flexable polygon (not merely flexible).
The simplest one is that whose construction is described in Figs.1 to 8. It was discov-
ered by A. Stone while playing with paper strips (5 / 8 ” width) obtained after the equalisation
of English and American paper sheets. Incidentally, A. Stone was a British graduand in
mathematics at Princeton.

8


9


1 2

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