- 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...
- half the
vertices of
stericated 5-cubes.
Steric penteract,
runcinated demipenteract Small prismated hemipenteract (siphin) (Jonathan Bowers): (x3o3o *b3o3x...
- 6-polytopes, but can be
extended backwards to
include the 5-demicube (
demipenteract) in 5-dimensions, and the 4-simplex (5-cell) in 4-dimensions. Each polytope...
-
Penteractitriacontiditeron (acronym: nit) (Jonathan Bowers)
Rectified 5-demicube/
demipenteract The
birectified 5-cube may be
constructed by
birectifying the vertices...
- 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...
-
rectified 5-cell are
included at the
beginning for completeness. The
demipenteract also
exists in the
demihypercube family. They are also
sometimes named...
-
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...
-
polytope faces. This
included the
rectified 5-cell 021 in 4-space,
demipenteract 121 in 5-space, 221 in 6-space, 321 in 7-space, 421 in 8-space, and...
-
Tetrahedron (regular) →
Tesseract (8-cell) → 16-cell (regular) →
Penteract →
demipenteract (semiregular)
Hexeract →
demihexeract (uniform) ...
Coxeter also used...
