The other morning we were reading Verse 41 in the Tao Te Ching and came across this puzzling line:
"The Great Square has no corners"
which the Simple Explanation might tranlate as
"Ideal Squareness lacks corners"
Naturally, I began wondering about the Great Square with no corners and how Ideal Squareness would arise from the toroidal shape. After a couple of weeks of passive pondering and mental modeling, this is what I've come up with.
Since I'm accustomed to working with a 3-D mental model, I upped the square to a cube.
Then I imagined this cube suspended at its eight corner points against the inner walls of a spherical torus.
Here's an animated blue cube rotating inside a sphere I found on Google images. This will help to visualize what I'm talking about. The other Platonic shapes are rotating in there, too, but we will try to disregard them for now.

Of course, we want to imagine the sphere in the above link is a torus.
The center point of the cube would also be the center point of the torus. Now remove any lines, walls, or corners you may have imagined for the cube and just sense its pure Form suspended there, framed by the torus. This would be an Ideal Cube precisely placed in the only position a cube can occupy within the Ideal Torus. Perhaps this is the Great Square of the universal UC.
Now consider the following chalk drawings where I build the square and cube from two essential elements of the torus: the pole and the plane of the equator. This will give us another way of conceptualizing the Perfect Square and Perfect Cube.
This is a cross section of a torus. In the Simple Explanation, the white star at the middle is the transdimensional zero-point field from which creation springs forth. |
Torus with pole. There is only one line that goes straight up through the middle of a singularity or zero-point at the center of the torus without touching any curved sides. |
Torus with parallel poles, perpendicular to the equatorial plane, bisecting the toroidal tube. |
The chalk drawings below are the same series as the drawings above, but from a cutaway, topside view, looking straight down on the bottom half of the toroidal sphere from above.
This is both a top-side cutaway view of the top and bottom planes of the perfect cube, and a side cutaway view of the perfect cube sitting in center of the toroidal tube. |
This is also a view from the top of the plane of the equator radiating out from the center point until it bumps up against the inner walls of the confining toroidal space. |