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1. |
| Draw a circle. Draw the horizontal and vertical centerlines.
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2. |
| Construct the inscribed heptagon (regular seven-sided polygon) of circle 1, pointing down.
Notice, that a regular seven-sided polygon can not exactly be constructed using the ruler-and-compass method. (See also my remarks on the crop circle reconstruction pages).
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3. |
| Draw the seven "outer" diagonals of heptagon 2.
(A regular seven-sided polygon has two sets of diagonals, "outer" diagonals, from any angular point to every second angular point, and "inner" diagonals, with two angular points in between).
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4. |
| Draw the seven "inner" diagonals of the heptagon enclosed by diagonals 3.
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5. |
| Construct the heptagon enclosed by diagonals 4.
This is the basis for the central seven-sided polygon of the Sevenstar.
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6. |
| Draw the "outer" diagonals of the same heptagon as diagonals 4.
The seven peripheral seven-sided polygons of the Sevenstar lie in the corners of this line pattern.
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7. |
| Draw the seven "inner" diagonals of heptagon 2.
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8. |
| Copy heptagon 5 seven times, and mirror each of them with respect to one of diagonals 7.
(In fact, each heptagon should be constructed fully, but that's a step too far here! See the first of the six patterns at the top of this page for a hint).
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9. |
| Draw the shown connecting line between intersections of diagonals 3 and 7. Repeat this six times, for the corresponding symmetrical points.
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10. |
| Draw the shown connecting line between (other) intersections of diagonals 3 and 7. Repeat this six times, for the corresponding symmetrical points.
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11. |
| Remove all redundant parts from lines 9 and 10, such that this pattern remains.
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12. |
| Draw the seven "inner" diagonals of the heptagon enclosed by pattern 11 (lines 10).
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13. |
| Draw the seven "inner" diagonals of the heptagon enclosed by diagonals 12, and extend these up to the outermost lines (diagonals) 3. See also detail.
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14. |
| Draw the shown connecting line between intersections of diagonals 3 and lines 13. Repeat this six times, for the corresponding symmetrical points.
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15. |
| Remove all redundant parts from lines 3, 12, 13 and 14, such that this pattern remains.
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16. |
| Construct a circle tangent to heptagon 5 and lines 15, as shown.
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17. |
| Copy circle 16 seven times, to the angular points of heptagon 5.
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18. |
| Construct seven pairs of lines, two by two parallel to the sides of heptagon 5, tangent to circles 17. Make these lines join by extending or trimming, as shown.
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19. |
| Copy circle 16 seven times seven times, to the angular points of heptagons 8.
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20. |
| Repeat step 18 for all heptagons 8.
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21. |
| Copy circle 16 seven times two times, to the angular points of line pattern 11.
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22. |
| Repeat step 18 for all lines of pattern 11.
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23. |
| Copy circle 16 to all angular points of line pattern 15, 49 in total.
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24. |
| Repeat step 18 for all lines of pattern 15.
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25. |
| Lines 18, 20, 22 and 24 together make up all the constituent parts of the final pattern.
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26. |
| Remove all redundant parts, such that this interweaving pattern appears: the Sevenstar.
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