MATHEMATICS AND ORIGAMI

(Dana P.) #1

Jesús de la Peña Hernández


8.3.5 UNIT SQUARES (JEAN JOHNSON)


Begin with a square folded as indicated in figs. 1 to 6. An irregular quadrilateral with
two straight angles is obtained eventually in fig. 6.
Ask for four units like the former: then build up squares using the four pieces in each.
Without any restrain to the process, we can play with the four pieces by: making the
four pieces adjacent, overlapping or enveloping each other, turning upside down some of them,
etc. The most straightforward process leads to three squares: one to fig. 7 and two (interior and
exterior) to fig. 8.

Interlude


1 2 3

(^456)
(^78)

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