MATHEMATICS AND ORIGAMI

(Dana P.) #1

Jesús de la Peña Hernández


Fig. 4 shows what circle 14 looks like: CC ́ is its diameter and it has the slits required to
interlock the other 5 circles that intersect it. Same figure depicts also circles 12, 13 and 11. The
dashed lines represent cuts.
As said earlier, all the other circles come out of the just mentioned four ones: pencil 1
has the slits in its lower side, and pencil 2 in the upper one. We can observe that, looking at cir-
cles of Fig. 4.
We shall proceed with the construction process of the ellipsoid using all 14 circles, but
at the same time we ́ll advice that circles 11, 21, 16 and 26 may be ignored. These four circles
are intercepted only by one circle (see Fig. 3), what means that they will not rest properly fixed,
with the consequence of palling on the ellipsoidal vision of the whole assembly. Conversely, its
omission does not lessen that vision ́s quality.
Fig. 5 shows the ellipsoid ́s deformation effect manifested in its horizontal main plane.
If keeping O in place, axis a is shortened by passing A 1 to A 2 , axis b grows from OB 1 to
OB 2. Third axis OC is always kept in its dimension, but cyclic planes ́orientation changes from
OC 1 to OC 2.

11


(^141312)
15
16
17
21
24 23 22
25
26
27
3
O
7

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