- 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...
- In seven-dimensional geometry, a 7-polytope is a
polytope contained by 6-polytope facets. Each 5-polytope
ridge being shared by
exactly two 6-polytope...
- In eight-dimensional geometry, a
stericated 8-simplex is a
convex uniform 8-polytope with 4th
order truncations (sterication) of the
regular 8-simplex...
- pentacomb). Each
vertex is
shared by 12 5-
simplexes, 30
rectified 5-
simplexes, and 20
birectified 5-
simplexes.
These facet types occur in
proportions of...
- The
locomotives of the Isle of Man
Railway were
provided exclusively by Beyer, Pea**** &
Company of Manchester,
England between 1873 and 1926;
other locomotives...
- 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...
-
equilateral triangle belongs to the
infinite family of n {\displaystyle n} -
simplexes, with n = 2 {\displaystyle n=2} .
Equilateral triangles have frequently...
-
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...
- 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...