- In five-dimensional geometry, a
demipenteract or 5-demicube is a
semiregular 5-polytope,
constructed from a 5-hypercube (penteract) with
alternated vertices...
- tetrahedron, and the
demitesseract is
identical to the
regular 16-cell. The
demipenteract is
considered semiregular for
having only
regular facets.
Higher forms...
- 24-cell are
semiregular polytopes. For
dimensions five
through eight, the
demipenteract and the k21
polytopes 221, 321, and 421 are the only
semiregular (Gosset)...
- half the
vertices of
stericated 5-cubes.
Steric penteract,
runcinated demipenteract Small prismated hemipenteract (siphin) (Jonathan Bowers): (x3o3o *b3o3x...
-
Coxeter B 5 {\displaystyle \mathrm {B} _{5}}
hypercubic group. The
demipenteract, with one
hundred and
twenty cells, is the only fifth-dimensional semi-regular...
- 4-faces, of
which 270 are four-dimensional 16-cells, and two sets of 27
demipenteract 5-faces.
These 72
vertices are the root
vectors of the
simple Lie group...
- 5-space
through 8-space that are part of the
family of k21 polytopes: the
demipenteract, 221, 321, and 421; with the
final figure representing the root vectors...
-
Penteractitriacontiditeron (acronym: nit) (Jonathan Bowers)
Rectified 5-demicube/
demipenteract The
birectified 5-cube may be
constructed by
birectifying the vertices...
-
regular 4-polytope facets.
There is only one such figure,
called a
demipenteract. A
regular 5-polytope has all
identical regular 4-polytope facets. All...
-
rectified 5-cell are
included at the
beginning for completeness. The
demipenteract also
exists in the
demihypercube family. They are also
sometimes named...
