I believe all of the 'sacred' relationships I've been talking about also apply here  a website by Jonathon Barlow Gee that deals with squares. I am sure there is also a hyper point or a hyper sphere. Look at the animation showing a section of the hypercube as it's rotated in 4D time space. It starts off as a large inverted tetrahedron. It also finishes with a smaller upright tetrahedron.
This is only three of the six cubes that are rotating in space. There are three other cubes on an opposite corner of the hypercube that would create the opposite shapes. Thus we would have two opposite pointing tetrahedrons...reminiscent of the 3D Star of David or Ed Leedskalnin's Latvian Star.
Over time in 4D rotation, this larger 3D Star of David becomes a smaller 3D Star of David that has rotated 180 degrees at least in one axis and points in the opposite direction.
That link seems to directly apply to the mathematics that combines Buckminster Fuller's world with the world of T.C. Lethbridge, Stonehenge, Tibetan Levitation, and Ed Leedskalnin.
It ties into the 4th dimension...hypercubes, hyperspheres, phi spirals, pi spirals...and light. I suggest there is a hypersphere that interacts with the hypercube because of what I've seen in the aforementioned works.
Jonathon Barlow Gee's website answers that hunch by saying that the hypersphere is a torus. This ties in directly with Dan Winters Phi Spiral and 'flame in the tent'...therefore into Genesis. It always seems to go back to light...and breath...the breath of 'god'.  Here is the applicable part of the website:
"Now, I would like to take a moment to compare some self-evident facts that we can observe in nature. I am not going to claim to have invented any of these things, as I hear doing so results in bad karma.
It is a self-evident fact, for example, that the seven basic colours of the spectrum of light (red, orange, yellow, green, blue, indigo, violet in order) can be mapped onto the surface of a torus, or hypersphere, in only one way, such that each of the seven colours occupies the same area on the surface of the shape.
Now, once these colours have been mapped onto the surface of the torus, we see that the outline between each of the mapped areas forms a spiral that wraps around the surface of the hypersphere.
The spiral that outlines the seven colour spectrum is, and this also is a completely self-evident fact and was not 'invented' by any human hands, is a 'phi' spiral.
Now, this 'phi' spiral revolves around the circumference of the torus (clockwise or counter-clockwise) depending upon the rotation through the centre of the torus (outward from centre or inward toward centre, respectively) of the seven coloured areas mapped onto its surface.
In other words, the 'phi' spiral revolves around the circumference as a measurement of the surface of the torus. It measures the fourth-dimensionality of this shape by moving, that is, it changes over time, and is therefore, like the clock, a means of measuring the passage of the fourth dimension.
However, this measurement is only of the surface of the torus, measuring the revolution from the circumference (seen from above) to the centre. This is a measurement of area, that is, of the combined seven areas of the mapped colour spectrum."
 E-mail to Jonathon Barlow Gee on Thursday 10 February, 2011
My name is David Brandon and I found your webpage doing a Google Search for PHI and Torus. I was researching the idea of Dan Winters' and Stan Tenen's "flame in the tent". I wanted more idea of the actual mathematical formula that enables the phi spiral to relate to a torus. But the real reason I've been doing all of that is to reconcile mathematics of the Dowsing works of T.C. Lethbridge with the mathematics of Edward Leedskalnin and Buckminster Fuller. I was very impressed with your website...VERY impressed! I would like to take you up on your offer to send an e-book of any of your works...especially any of these involving the mathematics of creation, torus, phi, pi...or the hypercube.
But more importantly than this, I was wondering if you might help my friends and I work on this math since you seem much more comfortable with the complicated mathematics of 3D and 4D space time. I really like how you don't take ownership for kharmaic reasons...I tend that way myself...though I give credit to others when I learn through them. Here is a brief description so you can get an idea the task.
Tom Lethbridge's works can be found at one of my friend's sites here: At the top of this page is the downloadable pdf's of his works. If you go to the second to last of any of these pages, you will see Lethbridge's Pendulum Rate chart of some of all objects. He found there is a 40" Archimedes spiral that repeats every 40" from the center of an object. While holding a pendulum over an object and allowed to oscillate in 3D space and 4D time...the object will only oscillate until the length of the pendulum is proper rate for that object. For instance, a gold nugget would respond at 29" and so would any female species. A male and diamond are both 24". I've been working on the mathematics behind it here.
If you look at the above link and briefly peruse it, you will find a part where I possibly tie in the male and female pendulum rates to John Michell's Sacred Rod of Stonehenge of 41.70898 inches and Lethbridge's 40'" Archimedes spiral cycle. I also tied this in with the energy mass of an electron and PHI. This isn't necessarily important for you to digest unless you'd like to get into it. To put it in simple terms, I'm very intrigued by your statement: "This diagram depicts a large part of what I work with on a daily basis".
This very much intrigues me because it is very close if not exactly what I'm trying to find...a connection with the 3D Archimedes Spiral of Lethbridge with the 3D PHI spiral of Winter's Flame in the Tent. If we could succeed in this, it would be a huge step in understanding the ancient art of dowsing...and provide a much more mathematical and scientific bedrock for others to build upon in referring to this ancient art.
I personally have tried this long pendulum dowsing and know that it works for me as Lethbridge provides. If you are not interested, please respond anyway and simply say so. If this is the case, then please refer me to anyone else that you know might be interested in working with us. Thank you for your time in reading this long email...and thank you for sharing your great works online!
Naperville, Illinois, USA.