Reconstruction of the West Stowell 20-07-2003 formation |
|||||
1. | Draw a circle. Draw and extend the horizontal and vertical centerlines. | ||||
2. | Construct the inscribed 13-sided regular polygon of circle 1, pointing up. (Note, that this polygon can not be constructed by using ruler-and-compass construction methods. The co-ordinates of its angular points must be calculated). | ||||
3. | Construct a 13-pointed star, by connecting all angular points of polygon 2, five apart. (Note, that 13 and 5 both are Fibonacci-numbers, as is their difference: 8. For more on Fibonacci-numbers and the Golden Section, see R. Knott's personal pages). | ||||
4. | Construct the inscribed circle of polygon 2. | ||||
5. | Construct the inscribed 13-sided regular polygon of circle 4, pointing down. | ||||
6. | Connect all angular points of polygon 5, two apart. Extend all these connection-lines, until they meet every third extended connection-line. A 13-pointed star is formed, as shown. | ||||
7. | Construct a circle concentric to circle 1, passing through the angular points of star 6. | ||||
8. | Draw all the rays from the center of circle 1 to the angular points of star 6. | ||||
9. | Construct the inscribed circle of one of the kite-shaped parts of star 3, as shown (tangent to the diagonals of two adjacent angular points and tangent to the diagonals of the next two angular points, three apart). | ||||
10. | Copy circle 9 13 times, to the intersections of rays 8 and circle 1. | ||||
11. | Construct a small circle centered at the upper intersection of circle 4 and the vertical centerline, tangent to circle 1 at the near side. | ||||
12. | Draw the connecting line between the left intersection of the lowest circle 10 with circle 1 and the center of circle 1. Extend this line up to circle 7, see figure. | ||||
13. | Copy circle 11 to the (upper) intersection of line 12 and circle 7. | ||||
14. | Construct a circle concentric to circle 1, passing through the third set of intersections of diagonals forming star 3, counted inwards from circle 1 inclusive. | ||||
15. | Construct a small circle the centerline of which connects the lower intersections of circles 1 and 4 with the vertical centerline. | ||||
16. | Copy circle 15 13 times, to the intersections of rays 8 and circle 14. | ||||
17. | Construct the inscribed circle of the 13-sided regular polygon enclosed by star 3. | ||||
18. | Taking as its center the upper intersection of the set of intersections of the diagonals forming star 3 closest to the center of circle 1, construct a small circle, tangent to circle 17 at the near side. See figure. | ||||
19. | Copy circle 18 13 times, to the centers of circles 16. | ||||
20. | Copy circle 18 another time, to the center of circle 13. | ||||
21. | Construct a circle concentric to circle 1, tangent to circle 20 at the upper side. | ||||
22. | Circles 1, 7, 10, 13, 16, 19 and 21, and star 3 form the ingredients for the reconstruction. | ||||
23. | Remove from circles 7, 13 and 21 the parts not visible in the formation. High resolution dwf-file | ||||
24. | Colouring green the areas corresponding to standing... High resolution dwf-file | ||||
25. | ...or to flattened crop, finishes the reconstruction of the West Stowell formation of 20-07-2003. High resolution dwf-file | ||||
26. | courtesy the Crop Circle Connector photo by: Nick Nicholson | The final result matches perfectly with the aerial image. | |||
| |||||
Copyright © 2003, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||
Since 1-Februari-2005 |