Above, pieces of donut like structure are presented. If the structures of both images were put together, you would have something between a sphere and a donut, (or a donut with a shut hole). All the component lines can be seen as plain, flat circles. The following images will show a related but evolved pattern of structure where the plain, flat circles have been bent. The first image below shows just one of the defining circles twisted to obtain two axes (top and right frames) and stretched along one axis, (front frame). The frames in the first image below define a single, twisted loop in 3d space.

When the very same twisted circle shown above is used to make the donut like structure of the first images, the form taken can vary as demonstrated in the "animated" picture below. While the twisted circle components remain unchanged, their position relative to center, and the their angle along the radius is changed, (which accounts for the change in appearance).

The first images on this page are tessellated to reference a common donut, but of more interest here is the flow structure, also named "poloid". The range of poloids animated above is infinitely more variable. It is even less discernible when observed in nature.



Geometric speculation: Relationship of poloid to tetrahedron.

geometric speculation: poloidal coil structure.

See biaxial potential for habitable buildings.

Note: These pages are placed in the public domain and are furnished "as is". The author assumes no responsibility for the use or misuse of the concepts in this series. All authorities should be satisfied first, as might be required, by relevant laws, before any building proceeds.

Searching Synergy ........ Free Exchange of Ideas

Enersearch was incorporated 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.


Email comments welcome ~~~~~~~ boa1@pivot.net

Tel : 207 342 5796 . . . (Maine)

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