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BETWEEN TWO SURFACES
In
the same way that lines move, surfaces can also bulge together, meeting
at a singular position.
Just like two lines in these conditions
share the same orientation, position and curvature, so do surfaces.
In their case, they are said not
to be collinear, but coplanar.
Again, point O, where the surface
first meet, is called a point of non-definity; marking the prospects of
an exchange or non-exchange of surfaces to their respective
motions prior to convergence.
In the same way that lines experience
a continuation of the process at interchange at a point of non-definity,
surfaces experience the same along a line of non-definity. Eventually the
line of non-definity, which starts of as a closed loop, begins to fragment
as interchange ceases from one point to the next along it, presumably eventually
disappearing all together.
Also, just as with the line and for
the same reason, surfaces experience IDDI everywhere throughout their exterior
regions (comparable to the exterior portions of a line). Bear in
mind, that as lines are confined to a flat plane, they may as well demonstrate
the same behavior in volumetric space
(three-dimensions), in which case their motion and changing curvature may
define more elaborate shapes such as helical or corkscrew shapes and of
course a great variety of random shapes. Needless to say, surfaces are
not confined to a flat plane, but are altogether operative in three-dimensional
volumetric space.
Just as the distribution of motion
of a line may be represented by a series of uniformly spaced orthogonal
vectors along the line, the distribution of motion of a surface may as
well be represented by a set of uniformly space orthogonal vectors over
the surface. Following is a transcendental distribution of motion of a
surface.
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