Draw a circle. Draw and extend the horizontal and vertical centerlines.

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

Copy circle 1 to the upper angular point of hexagon 2.

Repeat this for all other angular points of hexagon 2.

Copy circle 1 to the upper intersection of circle 3 and the vertical centerline.

Construct a circle concentric to circle 1, tangent to circle 5 at the upper side.

Construct a circle concentric to circle 1, tangent to circle 3 at the upper side.

Draw the connecting lines between intersections of circles 3 and 4, passing through the center of circle 1, 60° apart (as shown). Extend these up to circle 7.

Copy circle 6 six times to the intersections of circle 7 with lines 8 and the horizontal centerline.

Draw connecting lines between intersections of circles 9 two apart (three times, as shown), and extend these until they meet to form an equilateral triangle pointing up.

Construct an equilateral triangle similar to triangle 10, but pointing down, using the three alternate connecting lines.

Construct an equilateral triangle, pointing up, similar to triangle 10, using connecting lines between corresponding intersections of circles 9 and circles 3 and 4, as shown.

Construct an equilateral triangle similar to triangle 12, but pointing down, using the alternate set of three connecting lines.

Copy circle 6 to the left intersection of circle 1 and the horizontal centerline.

Construct a circle concentric to circle 1, passing through the intersections of circle 14 and the vertical centerline.

Copy circle 15 six times to the centers of circles 9.

Draw the connecting lines between the outer intersections of circles 16, passing through the center of circle 1, 60° apart, as shown.

Copy circle 6 to the upper right intersection of triangles 10 and 11.

Construct a circle concentric to circle 1, passing through the lower intersection of circle 18 and the vertical centerline.

Copy circle 6 six times to the intersections of circle 19 and lines 17.

Draw the connecting line between the two intersections of circle 6 and lines 17 to the right.

Construct a circle with the center at the intersection of line 21 and the horizontal centerline, tangent to circle 7 at the near side.

Copy circle 22 to the center of circle 1.

Construct a circle concentric to circle 1, tangent to circle 22 at the far side.

Construct two inscribed equilateral triangles of circle 24, one pointing up, one pointing down.

Construct three pairs of lines at a short mutual distance (distance not constructed), parallel and symmetrical to lines 17, from angular points of triangle 12 to the opposite angular points of triangle 13, as shown.

Circles 1, 3, 4, 6, 9, 15, 16, 20 and 23, triangles 10, 11, 12, 13 and 25, and lines 26 form the ingredients for the reconstruction.

Removing all parts not visible in the formation, and...

...colouring green all areas corresponding to standing,...

...or to flattened crop finishes the reconstruction of the 2003 Milk Hill formation.

The final result, matched with the aerial image.

Return