1. Fibonacci Geometry
Enantiomers and Stereoisomers
For no suggested reason, it appears the geometries of many “crop circles” are the same as
stereoisomers. There is at least one crop circle that is an effective enantiomer (may not be
available in the public domain, but was portrayed in a streamed documentary and can be found
by internet search engine.) A more common stereoisomer geometric aerial view can be found
at https://commons.wikimedia.org/wiki/File%3ACropCircleW.jpg
The stereoisomer-type view above is fairly obvious as depicting Fibonacci sequencing (1, 2, 3, 5,
8, 13, 21, … ). The enantiomer-type view does not have an obvious pattern, but can be
visualized in a similar way by a 360 degree rotation (2πr radians) of the enantiomer image
about any x or y axis along or orthogonal to a straight line within the surface image. In that
case, the aerial figure would be a two-dimensional representation, or a slice, of a 3-dimensional
volume.
The enantiomer volume, that can be imagined or generated by 3D special effects, then contains
many compartments of closed-volume (no way out from the inside.) From any position within
any interior volume of the geometry, counting a volume-space as 3-dimensions and a
surrounding surface-area as 2-dimensions, it takes a maximum number n = 13 (while counting
dimensions) to get from inside to outside.
While the required progression (from inside-out) of numbers n=1, 2, 3, 5, 8, and 13, is viewed
from the enantiomer figure, there is no clear way to achieve the number 21 using Fibonacci
sequential rules. In the stereoisomer view from the link above, the progression from 13 to 21 is
prohibited from a direction parallel to the axis of symmetry, but is easily viewed from the
perimeter curvature.
Frankly, I do not see the (documentary-alleged) alien space craft in the enantiomer-type figure!
What I do see is a Fibonacci progression of integers. I appreciate that this image was brought to
my attention.