2003 Avebury Stone Avenue formation
|
Reconstruction of the 2003 Avebury Stone Avenue formation | ||
| 1. |
| Draw a circle. Draw the horizontal and vertical centerlines. |
| 2. |
| Construct the inscribed pentagon (regular 5-sided polygon) of circle 1, pointing up. |
| 3. |
| Construct five equilateral triangles, each with one angular point coincident with a consecutive angular point of pentagon 2, creating a regular 15-pointed star. |
| 4. |
| Construct the circumscribed regular 15-sided polygon of circle 1, pointing down, so that the midpoint of each side coincides with one angular point of triangles 3. |
| 5. |
| Construct the circumscribed regular 15-sided polygon of polygon 4, pointing up, so that the midpoint of each side coincides with one angular point of polygon 4. |
| 6. |
| Construct the circumscribed circle of polygon 5. |
| 7. |
| Draw the 15 rays from the center of circle 1 to the angular points of polygon 5. Count the rays 1 to 15 counterclockwise, starting at the uppermost ray, as shown. |
| 8. |
| Construct a circle centered at the intersection of circle 6 and ray 7 nr. 1, passing through the intersections of circle 1 and rays 7 nrs. 2 and 15, as shown. |
| 9. |
| Copy circle 8 to the center of circle 1. |
| 10. |
| Draw the connecting line between the intersections of circle 9 and rays 7 nrs. 7 and 10. |
| 11. |
| Construct a circle concentric to circle 1, tangent to line 10. |
| 12. |
| Draw the connecting line between the intersections of circle 11 and rays 7 nrs. 3 and 14. |
| 13. |
| Construct a circle concentric to circle 1, tangent to line 12. |
| 14. |
| Construct a circle centered at the intersection of circle 11 and ray 7 nr. 1, tangent to rays 7 nrs. 2 and 15. |
| 15. |
| Copy circle 14 to the center of circle 1. |
| 16. |
| Construct a circle centered at the lower intersection of circle 14 and ray 7 nr. 1, tangent to rays 7 nrs. 2 and 15. |
| 17. |
| Copy circle 16 to the center of circle 1. |
| 18. |
| Construct a circle centered at the intersection of circle 9 and ray 7 nr. 1, passing through the intersections of circle 13 and rays 7 nrs. 2 and 15. |
| 19. |
| Copy circle 18 15 times, to the endpoints of all rays 7. |
| 20. |
| Draw the connecting line between the intersections of the uppermost circle 19 and cicle 6. |
| 21. |
| Construct a circle centered at the intersection of line 20 and ray 7 nr. 1, tangent to the uppermost circle 19 at the upper side. |
| 22. |
| Construct a circle centered at the endpoint of ray 7 nr. 1, tangent to circle 21 at the lower side. |
| 23. |
| Repeat steps 21 eight and 22 seven times alternately, creating (together with circles 21 and 22 and upper circle 19) a series of 18 circles in total of increasing diameters, tangent to each other at the upper and lower sides respectively. |
| 24. |
| Create a spiral, by leaving out alternately the left half (circles with upper centerpoint) or the right half (circles with lower centerpoint) from all 18 circles mentioned in step 23, as shown. |
| 25. |
| Circles 1, 9, 11, 13, 15, 17 and 19, and spiral 24 make up the ingredients for the reconstruction. |
| 26. |
| Leave out all parts not visible in the formation itself. |
| 27. |
| Colour the areas corresponding to standing... |
| 28. |
| ...or to flattened crop. This finishes the reconstruction of the 2003 Avebury Stone Avenue formation. |
| 29. |
| The final result, matched with the aerial image. |
| Copyright © 2003, Zef Damen, The Netherlands |
