MATHEMATICS AND ORIGAMI

Jesús de la Peña Hernández

9.14 DIVISION OF A SQUARE IN 7 EQUAL PARTS (two approximate solutions)

Solution 1

Besides, the seven partitions obtained are not equal: there are three sets of values. From

smallest to greatest, the smallest part is the third from left, then the first and second from left

and finally, the four parts at right.

= =

AA

AAB B

C

C C

C

BB

C

30º

60º

1

2

3

4

= =

For BC = 1, in ∆ABC:

AB = tg30 = 0.5773502

4

AB

= 0.1443375

as =

7

1

0.1428571

it can be seen that the result is very near

accuracy, but inexact.

Interlude