Above Left:
Biaxial? or tetra- toroid?, also coined poloid , 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 loop
in the poloid. The red loop indicates corresponding views of one
loop, (in poloid 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 poloid,
it is also evidently conceivable as a naturally occurring orthogonal
field inside the poloid. 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 models of a poloid have a a common torus place inside,
to show the orthogonal field relationship.
See drawings of the poloid
flow structure presented as twisting spins.
Scientific speculation: poloid
flow structure as a "cosmic windmill".
Click
here for more "multi axial" structures. (306 KB )
See a related
tetrahedral study
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