This is the fifth entry in an ongoing series of crop circle
reconstructions with emphasis on trisection. Look here for the
introduction.
This one is entirely devoted to the Ansty formation (august
12, 2016).
Its appearance is highly controversial. I want to make it
clear that my intention is not to influence someone's line of thinking
regarding crop circles. I merely want to show that trisection has been an
integral part of crop circle design since the early 90's. Trisection is
incorporated numerous times in this particular formation, and while none of
this can count as proof of its origin, i want to show that somewhere, someone
has thought a great deal on how to incorporate this in the design.
Overall analysis of the formation.
The most noticable feautures of Ansty are multiple layered
elements; There is a hexagonal centre with 4 different layers; On top there is
the leafmotive. Underneath a ring. The third layer are the open pointers. Then
the hexagonal background. All this can be constructed from the same template.
Then there is the ring with iconograph's. This is
pentagonal, 4x5.
The outer ring is build up of several rings, of which the
outermost are 33 boxes. This means that its basic geometric construction is
trisection of a hendecagon, or an 11 sided polygon. This is the first and most
visible use of trisection in this formation.
This elevensided polygon connects with the central ring and
hexagonal background when two interlocked hendecagrams are constructed.
Trisection incorporated in the design
The second time trisection is done is by looking at the
angle of the leafs and the width of the open pointers.
Hidden trisection.
A more elaborated use of trisection is by combining the
three templates 5,6 and 11 fold.
The hexagonal and pentagonal share one axis (A). Let's say
that is 0°. Then the next vertice of the hexagon (B) is at 60°, and the next
after that is the pentagonal vertice (C) at 72°. The third hexagonal vertice
(D) is at 120°, and the next pentagonal (E) at 144°. The distance between the
last two is 24°. 24x3 is 72.
the next one connects the hendecagon with the hexa- and
pentagon. The distance between the second two vertices (B and C) is 12°. 3x12
is 36. This is half of the pentagonal angle (F). This line is shared with the
hendecagon. Along this axis is the only place where one edge of one of the 33
boxes aligns.
Any given angle can not be trisected by geometric means. But
some angles can, and the Ansty formation uses that feauture deliberately.
Tramlines
Some of the tramlines trisect the hexagonal template at the
inner perimeter of the sett of rings.
This appears symetricly.
