- graph, but when four or more
regions meet at a point, the
result can be
nonplanar (for example, if one
thinks of a
circle divided into sectors, with the...
- is to show that, if a
graph is
nonplanar, it must
contain a
Kuratowski subgraph. A
Kuratowski subgraph of a
nonplanar graph can be
found in
linear time...
-
organic synthesis.
Cycloheptatriene is not aromatic, as
reflected by the
nonplanarity of the
methylene bridge (−CH2−) with
respect to the
other atoms; however...
- octaflexagon, the enneaflexagon, and others.
Harold V.
McIntosh also
describes "
nonplanar"
flexagons (i.e., ones
which cannot be
flexed so they lie flat); ones...
- due to K. G. C. Von Staudt’s
Geometrie der Lage (Nürnberg, 1847). In
nonplanar surface embeddings the set of dual
edges complementary to a
spanning tree...
- as
opposed to the
planar sections like rectangular/bar bell sections.
Nonplanar sections require 3D
analysis and are a
research area.
Modeling techniques...
-
three buildings; it is
impossible to
solve without crossings due to the
nonplanarity of K3,3. The
maximal bicliques found as
subgraphs of the
digraph of a...
- skew
apeirohedron is an
infinite skew
polyhedron consisting of
nonplanar faces or
nonplanar vertex figures,
allowing the
figure to
extend indefinitely without...
-
useful "carrier" for H2O2 in some reactions.
Hydrogen peroxide (H2O2) is a
nonplanar molecule with (twisted) C2 symmetry; this was
first shown by Paul-Antoine...
-
images physically impossible with
normal imaging equipment;
images with
nonplanar focus regions can be generated.
Alternative techniques for generating...
