How Does Crosslinking Work Between Tori?

Dr. Steven B Halls | December 2025

This material was originally posted to Facebook on 2025-12-08 - view original post.

How does crosslinking work between tori, such that they create tension pulling together into a strong 2D surface? In this post, I'm playing with graphics, experimenting to see if this communicates the idea successfully or not. Image A is an example, and I think the center of all those spirals is like a North polarity pointing outward from the screen toward your eyes.

Experiments in graphics to show how crosslinking between tori creates tension pulling into a strong 2D surface. Spirals may be North polarities pointing outward from the screen, and pairs of North and South may correspond to the bluish diamonds between them, which allows a weave where some threads cross above or below others. A modern building's tubes expose the lumen of interconnections, and Minoan and Egyptian images may hold inspiration.

Image B has North polarities pointing up, and image C has those spirals applied onto them. Image D uses North pointing one way and South pointing in the opposite direction, and I think those might correspond to the bluish diamond shapes inbetween all those spirals. That's uncertain. Image E shows more spiral patterns applied, and there is still a way for tension to be created on the strand that joins them.

Image A's bluish diamond shapes do not give any hints about the direction that those flower shapes are pointing. I'm just making a guess with image D and E, simply because I want there to be a way for a "weave" to occur. A fabric isn't a fabric unless some threads are weaving above- or below- other threads. It is also possible to create weave patterns in other ways. This won't make any sense unless you realize that a torus has a rotation happening in it's horizontal plane, where I placed a wheel as an analogy. It's not a literal wheel. It won't make sense either unless you "allow" your imagination to have a torus making multiple tubes that extend outward.

Image F is from a modern building, the foreground tubes are exposing the lumen of the tubes that make the interconnections. It's not showing what I'm posting about, but I show it because plenty of ideas can be found in symbolism. I'm not the only game in town, and I'm not sure what is correct yet. Image G and H are Minoan, and A is Egyptian. Maybe those have inspiration value. What were the ancients diagramming? EDIT: Ooops, image D and E, the bottom wheel had incorrect yellow arrow rotation direction, but I made a new graphic and now it's fixed.

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