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.
Click
here to see a list of other enersearch pages.
Definition Of : Biaxial- Having two axes. See definition
of "axis" , (axes is plural of axis).
.....
Research & Development Through Free Exchange of Ideas
Enersearch is a very small nonprofit
organization, founded in 1980, in Maine, USA. A wide range of
projects are synergistically studied as an alternative approach
to the usual method of specialization. Enersearch is now in the
slow process of publishing it's works on the www. This will consist
of transcribing hand drawn sketches and notebook data from the
1980's to the more recent CAD renderings dating from the 90's.
These works address particular technologies with a synergistic,
generalist approach.
Email comments welcome ~~~~~~~
bo@midcoast.com
http://www.midcoast.com/~bo
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Tel : 207 342 5796 . . . (Maine)