Reconstruction of the Wayland Smithy 8-07-2006 formation

Reconstruction of the
Wayland Smithy 8-07-2006 formation

Draw a circle. Draw the horizontal and vertical centerlines.

Construct four inscribed equilateral triangles of circle 1, one pointing up, one pointing down, one pointing to the left, and one pointing to the right.

Draw and extend the twelve rays, from the center of circle 1 to the angular points of triangles 2.

Draw and extend the twelve rays exactly in between rays 3, from the center of circle 1 to the outer mutual intersections of triangles 2, as shown. Number rays 3 and 4 counterclockwise, starting with nr. 1 at the rightmost ray, as shown.

Construct a circle concentric to circle 1, passing through the second set of intersections of triangles 2, as shown.

Construct four circumscribed equilateral triangles of circle 5, one pointing up, one pointing down, one pointing to the left, and one pointing to the right.

Copy circle 5 to the rightmost angular point of triangles 6.

Construct a circle concentric to circle 1, tangent to circle 7 at the righthand side.

Draw the connecting line between the intersections of circle 8 and rays nrs. 4 and 22.

10.

Repeat step 9 five times, for rays nrs. 2 and 8, 6 and 12, 10 and 16, 14 and 20, and 18 and 24.

11.

Draw the connecting line between the intersections of circle 8 and rays nrs. 2 and 24. Extend this line in both directions up to rays nrs. 3 and 23.

12.

Repeat step 11 five times for rays nrs. 4 and 6, 8 and 10, 12 and 14, 16 and 18, and 20 and 22. Extend these lines in both directions up to rays nrs. 3, 7, 11, 15, 19, and 23.

13.

Construct a circle, centered at the intersection of circle 1 and ray nr. 4, tangent to the nearest sides of triangles 6.

14.

Copy circle 13 two times, to the intersections of circle 8 and rays nrs. 4 and 22.

15.

Draw the connecting line between the inner (lefthand) intersections of circles 14 and rays nrs. 4 and 22.

16.

Repeat step 14 two times, to the corresponding intersections with rays nrs. 6 and 12, and 14 and 20.

17.

Repeat step 15 two times, between the corresponding intersections with circles 16, as shown.

18.

Copy circle 5 to the righthand intersection of circle 8 and the horizontal centerline.

19.

Construct a circle concentric to circle 1, tangent to circle 18 at the righthand side.

20.

Draw the connecting line between the intersections of circle 19 and rays nrs. 6 and 24.

21.

Repeat step 20 five times, for rays nrs. 4 and 10, 8 and 14, 12 and 18, 16 and 22, and 20 and 2.

22.

Draw the connecting line between the intersections of circle 19 and rays nrs. 2 and 4. Extend this line in both directions up to rays nrs. 1 and 5.

23.

Repeat step 22 five times for rays nrs. 6 and 8, 10 and 12, 14 and 16, 18 and 20, and 22 and 24. Extend these lines in both directions up to rays nrs. 1, 5, 9, 13, 17, and 21.

24.

Copy circle 13 six times, to the intersections of circle 19 and rays nrs. 6 and 24, 8 and 14, and 16 and 22 .

25.

Draw three connecting lines between the corresponding pairs of intersections of circles and rays of step 24, all at the inner side (with respect to the center of circle 1), as shown.

26.

Copy circle 5 to the righthand intersection of circle 19 and the horizontal centerline.

27.

Construct a circle concentric to circle 1, tangent to circle 26 at the righthand side.

28.

Repeat steps 20 through 25, with respect to circle 27 instead of circle 19, and to all rays two numbers higher (2 in stead of 24, 3 in stead of 1, 4 in stead of 2, etc.), as shown.

29.

Copy circle 5 to the righthand intersection of circle 27 and the horizontal centerline.

30.

Construct a circle concentric to circle 1, tangent to circle 29 at the righthand side.

31.

Repeat steps 20 through 25, with respect to circle 30 instead of circle 19, and to all rays four numbers higher (1 in stead of 21, 2 in stead of 22, 4 in stead of 24, 5 in stead of 1, etc.), as shown.

32.

Construct the (very small) inscribed circle of the equilateral triangle enclosed by the right-pointing triangle 6 and line 15, see detail.

Copy this circle twentyfive times, to the center of circle 1 and to the twentyfour intersections of circle 30 and all rays 3 and 4, as shown.

33.

Draw two parallel lines, tangent to two circles 32, the one at the center of circle 1 and the rightmost one, each at corresponding upper and lower sides. See details.