During the Reading Workshop for the Wave Volume 1 this session came up in the workshop about
Chapter 5: Perpendicular Realities, or Tesseracts and Other Odd Phenomena. While discussing this session among other things a light bulb went off for me, so I wanted to connect a few dots to present and ask if there could be something to this.
That to an extent describes this object (as created by TranscendEverything) in the
29 April 1995 thread.
But "an inlaid wheel formed by a circle within a circle, and adjoining partitions in a perfect balance" also, like John G said,
perfectly describes a torus (plural: tori):
A torus can be described in two ways:
- is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar with the circle. (from wikipedia)
- a plane (grid) which is wrapped around a circle in one dimension, and then that shape is again wrapped around a circle in another dimension. The two radii are perpendicular to one another.
Each of these circles has a radius; in the diagram above the first circle the plane is wrapped around is the polar radius (little r) and the second circle the wrapped plane is wrapped around is the toroidal radius (big R). You can visualize this here:
View attachment 35989
Back to the session:
For the torus, the outer circle is the plane defined by the polar radius. The inner circle is the toroidal radius. Seen from above, a torus is seen 2 dimensionally as a flat doughnut containing two circles.
Changing the size of the polar radius relative to the toroidal radius alters the whole shape of the torus.
If the polar radius shrinks, the doughnut becomes thinner and thinner until it vanishes or flips inside out and starts to increase again.
If the polar radius is ever-expanding (the movement the C's request we visualize), the torus fattens.
Below are horizontal cross-sections of 3 types of tori: ring torus, horn torus, and spindle torus. They are defined by the size of the toroidal (R) and polar (r) radii.
Ring Torus or Anchor Ring (R > r)
View attachment 35993
Horn Torus (R = r)
View attachment 35992
Spindle Torus (R < r)
View attachment 35990
Watching this process of r increasing relative to R (i.e. outer circle expands continuously) we see that eventually....
View attachment 35994
The answer to the question "where does it disappear to" is that different things happen depending on your perspective. If you look at it from above (i.e. 2D), the circle doesn't disappear but flips inside out. The toroidal radius doesn't disappear but merely approaches a point (as the C's said this fact is beside the point they're trying to get the team to reach). And holistically gives the appearance of a sphere.
Studying toroidal geometry we can see it resolves itself into a sphere.
I notice that when Laura insists looking at it from a 2D perspective, the C's say "well" and then try and reframe the answers in the context of a flat plane (which leads to the flatworld comparisons).
Particular emphasis is placed on the number 7 as it relates to persons and perpendicular realities which may merge.
While reading the wiki article about tori I also found that the torus
has a relationship with the number seven. I quote directly:
So what happens when these seven planes, each in contact with the other, expand along with the polar radius ("outer circle") up to the point that the torus itself resolves into a sphere?
They contact and merge with one another!!!
In the torus itself each person is a puzzle piece on the surface. When each are in contact and growing in knowledge and awareness (perhaps this is analogous to increased surface area occupied) they eventually begin to merge. In the diagram above you can see this with the yellow rectangle. It contacts all, but is most distant from the juncture between green and dark blue, and to a lesser extent purple and light blue. Resolving into a sphere, the yellow rectangle with its plane surface makes full-body contact with this junction. This a contact that is completely different type of contact, and who knows what else can become possible?
Tori also have been observed as descriptors of the phase space of a particular state of consciousness in the brain, at least in the book
Consciousness: Anatomy of the Soul. The brainwaves can be resolved and described mathematically using phase space and attractors. Electrical activity of different complexity produces different types of attractors.
Attractors have dimensionality, which in fractal geometry can be integer instead of a whole number (so it's possible in phase space to have objects of 0.4 or 2.5 dimensions, instead of 0,1,2,3+, etc).
When patients are anesthetized, their brainwave patterns have a dimensionality of ~1.5. While being brought out of anesthesis, their pattern changes to 2.5, which is a toroidal attractor. This is a state of delirium in which a person is not conscious but who can be argued to have scattered, unintegrated perceptions. Eventually dimensionality increases to at least 3, where the patient fully regains consciousness.
If the sessions above are indeed talking about toroidal geometry (and I believe they may be) it is interesting that the torus is an intermediary state between unconsciousness and consciousness. The sessions relating to this topic seem to be saying that gathering in a group of seven and networking produces an explosion of awareness and knowledge and achieve a new plateau of awareness.
That perpendicular realities intersect with realm borders is interesting also, if each chromatic section of the torus plane is representative of a person or perpendicular reality. Intersection geometrically would be the equivalent of the torus resolving into a sphere, thereby causing each person to meet at the realm border and merge.
Once the polar radius matches the size of the toroidal radius and continues to increase, that's when the merging begins: first merely as intersecting at certain points (perhaps these could be described as bleedthroughs?) and then fully merging once the sphere is attained.
Just an interesting idea I had. I wonder if it's factual.