2012 Andechs Abbey formation
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Reconstruction of the 2012 Andechs Abbey formation | ||
| 1. |
| Draw a circle. Draw and extend the horizontal and vertical centerlines. |
| 2. |
| Construct the inscribed dodecagon (regular 12-sided polygon) of circle 1, pointing up. Number the angular points clockwise, from the top, 1 - 12. |
| 3. |
| Draw the diagonals of dodecagon 2 from every angular point to every fifth angular point. |
| 4. |
| Construct a "two-points" circle (defined by the two end-points of a centerline) between angular points 1 and 2. |
| 5. |
| Construct the inscribed hexagon (regular six-sided polygon) of circle 4, with one angular point coincident with an angular point of dodecagon 2. |
| 6. |
| Construct a circle concentric to circle 1, passing through the outer angular points of hexagon 5. |
| 7. |
| Construct a circle passing through the set of innermost intersections of diagonals 3. |
| 8. |
| Construct the inscribed hexagon of circle 7, pointing up. |
| 9. |
| Construct the inscribed circle of hexagon 8. |
| 10. |
| Draw a line from the center of circle 1 to the intersection of diagonals (between angular points) 2-7 and 3-10. |
| 11. |
| Construct a circle centered at the intersection of line 10 and diagonal 5-12, tangent to circle 9 at the near side. See detail. |
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| 12. |
| Copy circle 11 two times, to angular points nrs. 5 and 12 of dodecagon 2. |
| 13. |
| Construct a line parallel to diagonal 5-12, tangent to circles 12 at the lower lefthand sides. |
| 14. |
| Repeat step 13 eleven times, with respect to the other eleven diagonals 3. |
| 15. |
| Draw diagonal 1-9. |
| 16. |
| Draw the eleven other corresponding diagonals. |
| 17. |
| Draw diagonal 1-10. |
| 18. |
| Draw the eleven other corresponding diagonals. |
| 19. |
| Draw a line from angular point nr. 1 to the intersection of diagonals 2-7 and 4-11. |
| 20. |
| Draw a line from angular point nr. 1 to the intersection of diagonals 2-7 and 3-11. |
| 21. |
| Repeat steps 19 and 20 eleven times, with respect to the other eleven angular points of dodecagon 2. |
| 22. |
| Circles 1 and 6, and lines 13, 14, 15, 16, 17, 18, 19, 20 and 21, are used for the final reconstruction. |
| 23. |
| Remove all parts not visible within the formation itself. |
| 24. |
| Colour all areas corresponding to standing... |
| 25. |
| ...or to flattened crop, and finish the reconstruction of the 2012 Andechs Abbey formation. |
| 26. |
| The final result, matched with the aerial image. |
| Copyright © 2012, Zef Damen, The Netherlands |
