Date

1. Draw a circle. Draw and extend the horizontal and vertical centerlines:

2. Construct the inscribed pentagon (regular 5-sided polygon) of circle 1, pointing down:

3. Construct five inscribed equilateral triangles of circle 1, each with one angular point coincident with a different angular point of pentagon 2, as shown:

4. Construct a circle centered at the upper intersection of circle 1 and the vertical centerline, passing through the two adjacent angular points of triangles 3, as shown:

5. Copy circle 4 fourteen times, all centered on circle 1, passing through all other corresponding angular points of triangles 3, as shown:

6. Construct a circle concentric to circle 1, tangent to circle 4 at the upper side:

7. Construct a circle concentric to circle 1, tangent to circle 4 at the lower side:

8. Copy circle 4 to its upper intersection with the vertical centerline:

9. Construct a circle concentric to circle 1, tangent to circle 8 at the upper side:

10. Copy circle 4 to the upper intersection of circle 8 and the vertical centerline:

11. Construct a circle concentric to circle 1, tangent to circle 10 at the upper side:

12. Copy circle 4 to the upper intersection of circle 10 and the vertical centerline:

13. Draw the pentagram of pentagon 2 (all diagonals):

14. Construct the circumscribed circle of the pentagon enclosed by pentagram 13, as shown:

15. Construct the inscribed equilateral triangle of circle 14, pointing up:

16. Construct the inscribed circle of triangle 15:

17. Copy circle 16 to the upper intersection of circle 7 and the vertical centerline:

18. Construct a circle concentric to circle 1, tangent to circle 17 at the lower side:

19. Copy circle 4 two times, to the tangent points of circle 6 and both circles 5 adjacent to circle 4, as shown. Move (copy and delete original) the lefthand circle to its own righthand intersection, and the righthand circle to its own lefthand intersection, both with circle 6:

20. Copy circle 4 two times, to the tangent points of circle 9 and both circles 19, as shown. Move the lefthand circle to its own righthand intersection, and the righthand circle to its own lefthand intersection, both with circle 9:

21. Copy circles 19 and 20 four times as a whole, taking circle 4 as a reference, to every third circle 5 in a corresponding radial orientation, as shown:

22. Only circles 1, 5, 6, 7, 9, 11, 12, 14, 16, 18, 19, 20 and 21 are needed for the final reconstruction:

23. Remove everything not visible in the formation itself:

24. Colour all areas corresponding to standing...:

25. ...or to flattened crop. This finishes the reconstruction of the 2007 Morgan Hill formation:

26. The final result, matched with the aerial image:

Copyright © 2007 Zef Damen