1. Draw a primary circle, enclosed within a square. Draw a circle enclosing the square outwards. Repeat the process with the same center point, until 8 enclosed circles are drawn. Notice the distinction between 2 sets of circles: set no.1 consists of the first 5 smaller circle, set no.2 consists of the 3 largest circles.

 

 

 

2. Draw a complete set no.1 centered horizontally and tangent to the 1st circle of set no.2, with its primary circle and its closest neighbour drawn on its upper right corner.

 

 

 

3. At the upper right corner of set no.1 is the primary circle tangent horizontally by its highest point to the enclosing square of set no.1. Notice that by drawing it there, it's also tangent to the largest circle of set no.1 created in step no.2.

 

 

4. Draw a second set no.1 (the primary centre is not drawn) centered by it's highest point at the intersection of the second square of set no.2 and  the square enclosing set no.2. Notice that by drawing it there, this set is also centered at the intersection of the largest square enclosing set no.2 and the largest square enclosing set no.1 drawn in step 3.

 

 

5. A closer view of the intersection of the second square of set no.2 and the square enclosing set no.2

 

 

6. Draw a very small circle between the square enclosing the primary circle drawn in step no.3 and the smallest circle of the set drawn in step no.4.

 

  

 

7. Draw a circle between the 3rd and 4th circles of set no.1

 

 

 

8. The circle drawn in step no.7 is repeated 7 times, centered at the centre point of step no.1. Notice that the circle created in step no. 7 is also a quarter of the distance between the 2nd and 3rd circles of set no.2. 

 

 

9. Draw 8 circles centered with the centre point of step no.1, each one enclosing the circles drawn in step no.8.

 

 

 

10. Draw the same 7 circles created in step no.8, add 4 additional circles toward their centre point.

 

 

11. The centre point of the 11 circles drawn in step no.10 is located at the upper right corner of set no.1 drawn in step no.4.

 

 

 

12. Draw 12 circles enclosing the 11 circles drawn in step no.10.

 

 

 

13. Draw a circle enclosed in the grid of 2x2 composed of the largest and third largest circles of step no.9 and the smallest and third smallest circles of step no.12. Notice this external circle is precisely twice the size of the circle in step no.7.

 

 

 

14. A closer view of the circle created in step no.13. Draw a circle centered with the previous, its radius being the difference between the previous and the circle created in step no.6.

 

 

 

15. Draw 6 circles, as drawn in step no.7, enclosed in the grid created by the overlapping circles of steps no.9 and no.12.

 

 

 

16. These elements enables the construction of the zigzag pattern. 

 

 

 

17.  From the primary circle drawn at the upper right corner in step no.2, draw a centered circle with a radius equal to the primary's less the diameter of circle of step no.6.  Draw a circle as created in step no.7 centered on the 2nd smallest square of set no.1 drawn in step no.4, tangent to the primary circle drawn in step no.2. Repeat the process of drawing another circle centered with the last created, with a radius of the previous minus the diameter of the circle created in step no.6

 

 

 

18. All required elements.

 

 

 

19. Flatten crop.

 

 

 

20. Matched with aerial shot. Notice the the last part of the hooked end doesn't fit precisely.
 

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