THREE VIEWS OF THE SAME FRACTAL

By Ed & Kris Sherwood

Updated Wednesday 30th October 1996.

As an 'UPDATE' to the articles: 'TWO VIEWS OF THE SAME FRACTAL', Kris and I would like to submit the following observations.

Analysing the design elements of the Windmill Hill formation revealed some interesting numbers, and design correlations, in keeping with the 'Double Helix' and Julia Set' formations. (See chart below, giving the exact number of design elements-circles, forming the Windmill Hill agriglyphs.)

ARC: 'Julia Set' like arc of the Windmill Hill formation. SUB TOTAL: Total number of circles of main arc. TOTAL: Total number of circles of main arc+side sets. GRAND TOTAL: 197 circles, including the large centre circle.

Arc A & C Both have 11 main 'Spine' circles, the same number of circles found in the 'Double Helix' eccentric arc. (See 'hand' indicating arc, in 'Two Views of The Same Fractal'.)

Arc A has 19 'Tail' circles, or, two more than Arc B, and Arc C. Could this be another musical 'Repeat Mark' reference?

Arc A also has 32 side set circles, the same number of circles forming Arc B without side set circles.

THE WINDMILL HILL `GALAXY FORMATION` 29/7/96 Windmill Hill, nr Avebury, Wiltshire, ENGLAND An original aerial photograph shot by Steve Alexander. UK Tel: (01705 352867) Copyright 1996.

The Windmill Hill formation has off-centeredness, a feature it shares with the 'Double Helix and 'Julia Set' designs.

W/Z measurements greater than X/Y measurements. (Dia 1)

Arc B has an extra 'Spine' circle, making 12, the same number of spine circles forming the 'Double Helix'.

Arc B has 34 side set circles, the same number of circles forming the 'Julia Set' spiral ('Coda' to 'Tail').

It's interesting to see a 'Pin Wheel' (Windmill) looking design at 'Windmill Hill' (Wiltshire, England), as mutual connections emerge:

WINDMILL

Wind - Mill
Wind Power - Wheat
Whirlwind - Crop Circle
Atmospheric Conditions - Land Effect
Nature of the Place - Design of the formation

The geometry of the Windmill Hill agriglyph looks very impressive, to say the least. Even a preliminary scan reveals:

A) Underlying Triangular geometry, in the construction of the entire formation. (See Dia.3)

B) Tangential geometry everywhere! Including, from 'Tail' to 'Tail'.

c) And what looks like a geometric sizing and spacing of elements.

(Dia 2)
Rotating (spinning)
Tetrahedral Geometry
implied by the Windmill Hill
Crop Circle Formation.

The spiraling arms of the Windmill Hill formation are in a clockwise direction, while the Julia Set spiral is in an anti-clockwise direction.

The Windmill Hill agriglyph even looks like a 'Windmill' (i.e.: One of those three cornered, plastic toy windmills (a 'pinwheel'), found at any seaside resort, alongside plastic spades and sandcastle buckets.

The Double Helix, Julia Set, and Windmill Hill formations seems to symbolize (amongst other things the dynamics of large centres of mass around a common centre in space, i.e.:

A) The Double Helix seems to symbolize a planet/moon system (perhaps the sun Earth/Moon system), showing the 'Apogee' (furthest) and 'perigee' (nearest) positions of a moon as it orbits a moving planet.

B) The Julia Set seems to symbolize a star/planetary system (perhaps the sun and planets of our solar systems) moving around a galactic center.

C) The Windmill Hill formation seems to symbolize a spiral galaxy.

In the previous article (Two Views of The Same Fractal) we said, "Watch This Space", accompanied by an image of a spiral galaxy. It was meant to attract readers attention to:

A) The dynamics of large centres of mass around a common centre in space.

(This seems to be the primary statement of the Double Helix & Julia Set formations.)

B) The possibility that 'Astrophysics' (Known 'Cosmic forces) may have a significant part to play in the creation of some crop circles, i.e.: The Double Helix/Julia set formations.

C) Our on going research into the subject, and to be thoughtful about what might appear next in the fields of England.

Pages 1-4 of Kris' article were completed on July 26th 1996, and mailed to various Crop Circle reporting magazines, in the US and UK, on July 29th 1996 before learning about the Windmill Hill formation.

A COINCIDENCE? OR, COSMIC CLUE?

ED & KRIS SHERWOOD,
MILLENNIUM RESEARCH,
PO BOX 2084,
Santa Monica,
CA. 90406-2084

Tel (310) 3199329