Reconstruction of the Lane End Down 9-07-2023 formation

Reconstruction of the
Lane End Down 9-07-2023 formation

Draw a circle. Draw the horizontal and vertical centerlines.

Construct the inscribed hexagon (regular 6-sided polygon) of circle 1, pointing up.

Construct the inscribed hexagon of circle 1, pointing to the right.

Draw the twelve rays from the center of circle 1 to the angular points of hexagons 2 and 3.

Draw the twelve connecting lines from the center of circle 1 to the mutual intersections of hexagons 2 and 3, and extend these lines up to circle 1. Number the rays 4 and 5, clockwise, 1 - 24, starting at the top.

Construct a circle, tangent to rays nrs. 6 and 8, and tangent to circle 1.

Construct a circle, tangent to rays nrs. 6 and 8, and tangent to the upper righthand side of hexagon 3.

Construct the "two-points" circle (defined by the two end-points of a centerline) between the centers of circles 6 and 7.

Construct a circle concentric to circle 1, passing through the center of circle 8.

10.

Construct a circle centered at the intersection of circle 9 and ray nr. 1, tangent to circle 1 at the upper side.

11.

Construct a circle concentric to circle 10, tangent to the upper righthand side of hexagon 2.

12.

Construct a circle concentric to circle 10, passing through the intersection of the upper righthand side of hexagon 2 and ray nr. 2.

13.

Construct a circle concentric to circle 1, tangent to circle 12 at the lower side.

14.

Copy circle 10 to the center of circle 1.

15.

Copy circle 13 to the intersection of the righthand side of hexagon 2 and ray nr. 6.

16.

Construct a circle concentric to circle 1, tangent to circle 15 at the lefthand side.

17.

Construct a circle centered at the upper intersection of circle 11 and ray nr. 1, tangent to circle 10 at the upper side.

18.

Construct a circle concentric to circle 10, tangent to circle 17 at the lower side.

19.

Copy circle 17 to the upper intersection of circle 18 and ray nr. 1.

20.

Construct a circle concentric to circle 10, tangent to circle 19 at the lower side.

21.

Copy circle 17 to the upper intersection of circle 20 and ray nr. 1.

22.

Construct a circle concentric to circle 10, tangent to circle 21 at the lower side.

23.

Copy circle 17 to the upper intersection of circle 22 and ray nr. 1.

24.

Construct a circle concentric to circle 10, tangent to circle 23 at the lower side.

25.

Copy circles 18, 20, 22, and 24, to the intersection of circle 13 and ray nr. 1.

26.

Construct two concentric circles centered at the intersection of the upper side of hexagon 3 and ray nr. 1, tangent to circles 18 and 20, at the upper sides.

27.

Copy circles 26 to the intersection of circle 16 and ray nr. 1.

28.

Construct the "two-points" circle between the intersection of circle 14, and the lower intersection of the outer circle 27, both with ray nr. 1.

29.

Construct a circle concentric to circle 28, tangent to the inner circle 27 at the lower side.

30.

Construct three concentric circles centered at the intersection of circle 13 and ray nr. 3, tangent to the outer three circles 25 at the righthand sides.

31.

Construct a circle centered at the upper intersection of the innermost circle 30 and ray nr. 3, tangent to the next inner circle 30 at the near side.

32.

Construct a circle concentric to circles 30, tangent to circle 31 at the lower side.

33.

Copy circle 20 to the center of circle 1.

34.

Construct a circle concentric to circle 1, passing through the center of circle 28.

35.

Repeat all necessary steps to copy and rotate circles 10, 11, 18, 20, 25, 30, and 32, five times, with respect to the other angular points of hexagon 2.

36.