Biaxial or tetra- toroid, (or poloidal) has 27 identical loops. (Edge centers of the tetrahedron, above right,

were used as snap points, (alignments), to 'mold' an individual loop, representitive of a poloidal loop, above right).

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 maganetism, that is).

See a gallery with somewhat related patterns.

See another poloidal observation.

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. Dicussion is welcome, please write.  Bo Atkinson