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. The
range of poloidal twists animated above is infinitely more variable. It
is even less discernible when observed in nature.
Geometric speculation: Relationship of
poloidal structure to the tetrahedron.
geometric speculation: poloidal
biaxial potential for habitable buildings.
2012 blog on Inductive Coupling Symmetries
Sunspot Coil Model
Pictorial Site Index Page
Conceptual artist is repressed, for modeling coil art?
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 ~~~~~~~ firstname.lastname@example.org
Tel : 207 342 5796 . . . (Maine)