MATHEMATICS AND ORIGAMI

Jesús de la Peña Hernández

1 → 2

2 → 4

4 → 8

8 → 16 Once we reach maximum point 16, subtract 16 (one circumference) and

join to resultant point 0; as this is equivalent to 16, it means that the series started with 1, is ex-

hausted.

Restart a new series from first undisclosed point, in this case the number 3.

3 → 6

6 → 12

12 → 24 (24 – 16 = 8)

12 → 8 From here on this series is exhausted.

5 → 10

10 → 20 (20 – 16 = 4)

10 → 4 Exhausted series.

7 → 14

14 → 28 (28 – 16 = 12)

14 → 12 Exhausted series.

9 → 18 (18 – 16 = 2)

9 → 2 Exhausted series.

11 → 22 (22 – 16 = 6)

11 → 6 Exhausted series.

13 → 26 (26 – 16 = 10)

13 → 10 Exhausted series.

15 → 30 (30 – 16 = 14)

15 → 14 Exhausted series and process.

3

P O

A B

B ́

A ́

B ́ ́

1

2

5 4 3

6

7

8

9

10

11

12

13

14

15

P O 16

A B

4