MATHEMATICS AND ORIGAMI

Mathematics and Origami

Fig. 2 is the result of folding Fig. 1. In Fig. 1 we can see the relation between sides L
and l as well as the error produced in the thickness of the difference solid; that error is because l
is smaller than needed for the exact solution.

Till now we have treated the inexact solution. In case we wish to change easiness for
exactitude, all we have to do is this:

• Start with the same paper rectangle keeping within it the 12 squares of side L.


• Increase l from 3 / 4 of L up to 3 L
  2

1

i.e., from 0,75 L to 0,7937005 L.

• To obtain 3 L
  2

1

, use any of solutions 2 or 3 and transport its value to Fig. 3 as a paper

folded segment.

3

L

2

l = L^3

1

L

l

3

4

L