- In geometry, a
simplex (plural:
simplexes or simplices) is a
generalization of the
notion of a
triangle or
tetrahedron to
arbitrary dimensions. The simplex...
-
belong to a
regular series of n-dimensional
objects called "logical bi-
simplexes of
dimension n." The
pattern also goes even
beyond this. The
logical square...
- face-to-face) with the two
opposite vertices centered. In the case of
simplexes such as the 5-cell,
certain irregular forms are in some
sense more fundamental...
- n-dimensional counterparts,
called n-
simplexes within a
topological space. By the
mathematical properties of
simplexes, any n-simplex is
composed of multiple...
- weak Kan complex)
whose structure is
determined only by 0-
simplexes, 1-
simplexes and 2-
simplexes, then it is a weak (2, 1)-category; i.e., a weak 2-category...
-
constructed from 14 snub 5-
simplexes, 42 snub 5-cell antiprisms, 70 3-s{3,4} duoantiprisms, and 2520
irregular 5-
simplexes filling the gaps at the deleted...
-
between two or more
processes and is thus
composed of two or more
clause simplexes. A
clause (simplex)
typically contains a
predication structure with a...
- In six-dimensional geometry, a
cantellated 6-simplex is a
convex uniform 6-polytope,
being a
cantellation of the
regular 6-simplex.
There are
unique 4...
- Cube. The
birectified 5-simplex is the
intersection of two
regular 5-
simplexes in dual configuration. The
vertices of a
birectification exist at the...
- octahedron, and a 4-dimensional cross-polytope is a 16-cell. Its
facets are
simplexes of the
previous dimension,
while the cross-polytope's
vertex figure is...
