Here is a tetrahedral-helix! My professional software generates this geometry and therewith asserts some sort of relevance or significance, in my oppinion.  

These tetrahedral paths are apparently a form of the helix.   A helix and a tetrahedron, both, apparently! A nine segment (faceted) helix formed along an equilateral triangular path can actually actually form atetrahedron. Wireframe model below shows the helix-segment directions. This helix radius example is close to 10 times larger than the triangular-path, (along which, said helix does form).

The "show-direction" render immediately looked like an interesting coil for new, tetrahedral EMF effects!  As the ratio of radii is increased, the alignments of the helix segments more closely align with a superimposed, precise tetrahedron. There are many interesting aspects of this geometry.

The first two examples were generated using a 10:1 ratio. (The ratio is helix-radius to path-radius). A green-equilateral-tetrahedron is compared with a blue-tetra-heli-dron in the picture below.

However for reasons unknown,  the generated tetrahedral-helices  of 2009 and 2011 differ. Two differing computer hardware and software versions might account for the discrepancies.  The 2009 model appears somewhat more tetrahedron-like. Nevertheless, the phenomena of a helix forming a tetrahedron remains generally consistent, (and not noticed with other ratios of settings).

The helix radius in this example is about 24 times larger than the triangular souce-path radius. (As modeled inside formZ   versions, during the year of 2009).   It is not clear why the helix produced is not specifically equilateral or what further significance this issue might bare. It still thrills me though.

The image above shows some settings and data concerning the model generated in formZ.  The red object (above) is the "Wire Helix Along Path". The small black object (barely seen in the middle of the image) is the flat triangular path. 

Is there a significant mathematical relationship which "snaps" conventional helix formulae into a stick-like tetrahedron, only at very specific ranges? I also wonder if there might be variations of math formulae for helices, wherein a more equilateral tetrahedron will generate. In my model, the helix segments have actually varied slightly in segment length.

Another edit of the wire-helix-along-path is set to 5000 or in fact 10,000 times the equalateral-trianglar-path which was itself set at 0.5 (sizing units of inches in this example).  Zooming at higher resolution reveals that all of the "tetrahelidron-vertices" are slightly unaligned. My expectations include possibilities of a helix-formula linkage with the tetrahedron formula, by mathematical means yet deserving discovery.  At the same time, my expectation for EMF discoveries, by use of the specific geometrical relationships, may reveal new discoveries. Following are some suggested geometries to electrify:

 

My own interests span various fields of endeavor, only partly technical in nature. The blue framework above explores the possibility of using these offsets to enhance a spin of a magnetic field. In case the blue framework represents appropriately arranged electrical paths.  Next model below explores a flat faced tetrahelidron, for research with wave guide effects. The plate separation is exaggerated to represent insulation which allows this configuration to form a series electrical path around all plates. (through centralized interconnection).

Next below is another pending example for proposed research. On right below is a tetrahedral arrangement of 'coils' and to the left is the 'disassembled' or spaced out assembly. To emphasize the the geometry of the arrangement of 4. conical coils.

My expectation is that the above configurations would provide more interesting field interactions.

I would closely observe and adjust the resultant field concentrations towards the tetrahedral center. At the most central point, the three uppermost coil fields could 'funnel into the bottom most coil field. This construct could be studied alone or as one intact component within larger configurations shown below.

         

By contrast a single, tetrahedral coil, may have less interesting fields. Scanning tunneling microscopy images published in Science News Magazine, ("Super Conductivity: Two Teams, one view"April 6, 1991, pg 215) appeared very much like my image on the right, above.  The concept of creating circuited coils at various prospective scales should be very interesting.


Above is one 4 coil module. My curiosity involves more elaborate configurations: Why not assemble quantities of these coils in more elaborate configurations. Next below are suggested assemblages for tetrahedron coil modules (pictured last ). Symmetrical arrays of tetrahedrons pictured where each drawn tetrahedron represents multiple coils or plates wired in series.

 

Further examples may be seen here.

I would have enjoyed experimenting with coils and better equipment. My experimental coils were much cruder in every respect.

Next images below were earlier efforts to convey what it means to form or wrap a facetted spiral around a triangular path. A smaller scale helix is used and the helix itself is shown with a variable number of turns and variable segmentation.

For years i was perplexed as to how to present the relevance of this geometric discovery of a particular relationship between the helix, the solid tetrahedron and a simple, flat triangle. It almost seemed some sort of greater discovery associated with it might transpire. Later on, making a living distracted me from my favorite studies which relate to geometric patterns and applications. The next image views the same helix object with variations of steps-per-cycle, (from differing view angles) and includes a solid tetrahedron for comparison, (in green). (The image includes variations of helical frequency and smoothness, wound around a triangle).

 

I additionally wonder if this model might relate to toroidal geometry. In that by adjusting the ratio of diameters, (path diameter to helix diameter), tours-related objects are generated. Morphing relationally, also can manifest self-interfering tori. I further visualize relationships of rings, tori and helices. This link will show an experimental concrete rendition.

This additional link discusses many of my structural uses of rings.

Hire Bo for geometric modeling.

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Enersearch was incorporated by Bo Atkinson in 1980 but never materialized financially.  A  synergy of concepts were developed and are reflected in the pages of this series.  The synergy continues as a single handed effort of Bo Atkinson, in Maine, USA.