- 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
hexicated 7-simplex is a
convex uniform 7-polytope,
including 6th-order
truncations (hexication) from the
regular 7-simplex...
- The
locomotives of the Isle of Man
Railway were
provided exclusively by Beyer, Pea**** &
Company of Manchester,
England between 1873 and 1926;
other locomotives...
- 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...
- 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...
- 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...
- 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...
- In seven-dimensional geometry, a
runcinated 7-simplex is a
convex uniform 7-polytope with 3rd
order truncations (runcination) of the
regular 7-simplex...
