- In geometry, a
simplex (plural:
simplexes or simplices) is a
generalization of the
notion of a
triangle or
tetrahedron to
arbitrary dimensions. The simplex...
- 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...
- In ten-dimensional geometry, a
rectified 10-simplex is a
convex uniform 10-polytope,
being a
rectification of the
regular 10-simplex.
These polytopes are...
-
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...
- In seven-dimensional geometry, a
pentellated 7-simplex is a
convex uniform 7-polytope with 5th
order truncations (pentellation) of the
regular 7-simplex...
- In five-dimensional geometry, a
stericated 5-simplex is a
convex uniform 5-polytope with fourth-order
truncations (sterication) of the
regular 5-simplex...
- In eight-dimensional geometry, a
heptellated 8-simplex is a
convex uniform 8-polytope,
including 7th-order
truncations (heptellation) from the regular...
- n-dimensional counterparts,
called n-
simplexes within a
topological space. By the
mathematical properties of
simplexes, any n-simplex is
composed of multiple...
- 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 six-dimensional geometry, a
runcinated 6-simplex is a
convex uniform 6-polytope
constructed as a
runcination (3rd
order truncations) of the regular...
