This model was inspired  by discussions on the synergetics forum, of the 1990s. These were related pages:

1990s:... triploidCoil.html   ~~    ST.html

2009....  A tetrahedron is formed as a helix:. Is this the primal tetrahelix?.

Above Left: Biaxial? or tetra- toroid?, ( poloidal?), as drawn here has 27 identical loops. Compared with ordinary toroid coil below, the main differences are twisted loops instead of the plain toroid loops and the involuted "donut hole". This 3D model can be built. While 27 closed loops are presented to show a tetrahedron relationship, all loops can be one continuous wire and has been studied for interesting electronic properties.

Above Right: Edge centers of the tetrahedron were used as snap points, (alignments), to "mold" an individual loop, representative of   poloidal paths. The red loop indicates corresponding views of one loop, (in poloidal and in tetrahedron mold above- right.) The tetrahedron functioned as a mold in a 3D CAD program:  each point or corner was used in a consecutive snap operation while making a closed, quadratic, bezier curve, (or loop). Another way to visualize: grab an "O" ring at two points and twist 90 degrees. Another tetrahedral insight: twisting, bending or warping... Is there a connection to the "hand rule"?, (of electro magnetism, that is).

The plain torus coil above is of the common variety which is used in many electronic products and industry. In addition to a comparison for understanding the poloidal geometry. The drawing to the right only approximates the orthogonal field relationship intuitively.


While the model can be built with wire or with the new "3D printing" machines, one point needs clarification. In this particular 3D model, no attempt was made to avoid crossing lines. In real life, this means that the wires would need to weave around each other, which obviously would change the pattern slightly.


To Right: Two different poloidal models have a a common torus place inside, to show the orthogonal field relationship.



See drawings of the poloidal flow structure presented as twisting spins.


Scientific speculation: poloidal flow structure as a "cosmic windmill".


Click here for more "multi axial" structures. (306 KB )


See a related tetrahedral study




The content on this website,, is placed in the public domain only as a free exchange of ideas and as a "hard studied wish to serve life". The author assumes no responsibility for the improper use of the concepts in these web pages, as all relevant laws of life and local codes should be verified and observed before any building or experimentation proceeds. discussion is welcome, please write.  Bo Atkinson