Reconstruction of theIvinghoe Beacon 26-07-2002 formation 1. Draw a circle. Draw the horizontal and vertical centerlines. 2. Construct the inscribed nonagon (regular 9-sided polygon) of circle 1, pointing up. 3. Construct the inscribed circle of nonagon 2. 4. Construct a circle centered at the lower intersection of the vertical centerline and circle 1, passing through both nearest angular points of nonagon 2. 5. Copy circle 4 to the center of circle 1. 6. Construct a circle concentric to circle 1, tangent to circle 4 at the near side. 7. Draw two connecting lines between the center of circle 1 and both angular points of nonagon 2 just below the horizontal centerline. 8. Copy circle 4 to the intersection of right hand line 7 and circle 6. 9. Copy circle 4 another two times, to the intersections of circle 6 with left hand line 7 and with the upper half of the vertical centerline. 10. Copy circle 6 to the intersection of right hand line 7 and circle 5. 11. Copy circle 6 another two times, to the intersections of circle 5 with left hand line 7 and with the upper half of the vertical centerline. Note, that circles 10 and 11 pass through the intersections of circle 5 and circles 8 and 9. This is far from trivial and will be explained in "Non ruler-and-compass constructions". 12. Copy circle 1 to the upper intersection of circle 3 and the vertical centerline. 13. Construct a circle concentric to circle 1, tangent to circle 12 at the upper side. 14. Construct a line tangent to both circle 5 and circle 8 at the lower sides. Extend this line down right up to circle 13. 15. Draw the connecting line between the center of circle 1 and the intersection of line 14 and circle 13. 16. Copy circles 1 and 3 to the intersection of line 15 and circle 3. 17. Copy circles 16 two times, and distribute the three sets of circles in total evenly around the center of circle 1. 18. Construct a circle concentric to circle 10, tangent to circle 3 at the near side. 19. Construct a second circle concentric to circle 10, tangent to circles 9 at the near sides. 20. Copy circles 18 and 19 to the intersection of inner circle 16 and line 14. 21. Extend line 14 down right up to outer circle 20. 22. Construct a circle concentric to circle 8, tangent to circle 3 at the near side. 23. Copy circles 8 and 22 to the intersection of line 21 and inner circle 20. 24. Construct a circle passing through the outer intersections of outer circle 16 and both outer circles 17, tangent to inner circle 23 at the far side. 25. Construct a circle concentric to circle 24, tangent to outer circle 23 at the far side. 26. Copy circles 20, 23, 24 and 25 two times and distribute the three sets of circles in total evenly around the center of circle 1. 27. Circles 1, 5, 8, 9, 10, 11, 16, 17, 20, 23, 24, 25 and 26 are all that is necessary for the reconstruction. 28. Leaving out all parts not visible in the formation itself...High resolution dwf-file 29. ...and colouring green all areas corresponding to standing crop...High resolution dwf-file 30. ...or to flattened crop, finishes the reconstruction of the 2002 Ivinghoe Beacon formation.High resolution dwf-file 31. courtesy the Crop Circle Connector photo by: Andrew King The final result matches fairly well with the aerial image, but not precisely everywhere. Copyright © 2002, Zef Damen, The NetherlandsPersonal use only, commercial use prohibited. Since 1-Februari-2005