Graphics Reference
In-Depth Information
polygonal lines are completely discarded because the relation is concentrated in the
pattern: Linear relations into points, proximate coplanarity into convex polygons,
quadrics into conics and so on. Note further, again with reference to Figs.
.
and
.
,thatrelationalinformationresidesatthe
crossings
.Continuing,withtherepre-
sentation of relations by patterns with the pictures of a helicoid and Moebius strip in
cartesian and
-coords in Figs.
.
,
.
. hese are state of the art results showing
Figure
.
.
A
-D helicoid in Cartesian and
-coords. he two intersecting lines (let)specifyoneof
the helicoid's tangent planes, as represented by a pair of points, one on each of the curves (right).
A helicoid in N-D is represented by N
−
such curves
Figure
.
.
A
-D Moebius strip in Cartesian and
-coords. he two intersecting lines (let)specify
one of the strip's tangent planes, as represented by a pair of points, one on each of the curves (right).
A Moebius strip in N-D is represented by N
such curves
−
