- 6|2,3). It is also
isomorphic to the
abstract symmetric group, S5.
Hexadecachoric group – B4, [4,3,3], (),
order 384, (Du Val #47 (O/V;O/V)*,
Conway ±1/6[O×O]...
- 24-cell. The
vertex arrangement is
called the B4, D4, or F4 lattice.
Hexadecachoric tetracomb/honeycomb
Demitesseractic tetracomb/honeycomb
Vertices can...
- 24-cell and
truncated 16-cell facets.
Truncated hexadecachoric tetracomb /
Truncated hexadecachoric honeycomb The [3,4,3,3], ,
Coxeter group generates...
-
regular octahedron, or 3-orthoplex. In 4-dimensions it is
called a
hexadecachoric symmetry,
after the
regular 16-cell, or 4-orthoplex. In two dimensions...
-
listed for completeness, but is not uniform. This
family has
diploid hexadecachoric symmetry, [4,3,3], of
order 24×16=384: 4!=24
permutations of the four...
- type
Linear Tridental Coxeter group and
diagram Pentachoric [3,3,3]
Hexadecachoric [4,3,3]
Icositetrachoric [3,4,3]
Hexacosichoric [5,3,3] Demitesseractic...
- tesseract,
cuboctahedral prism, and 3-3
duoprism cells.
Runcinated hexadecachoric tetracomb/honeycomb
Small prismated demitesseractic tetracomb (spaht)...
-
Great cellirhombated icositetrachoric tetracomb (gicaricot)
Runcicantic hexadecachoric tetracomb The [3,4,3,3], ,
Coxeter group generates 31
permutations of...
- 4-dimensional
finite reflective group is
hyperoctahedral group (or
hexadecachoric group (for 16-cell), B4=[4,3,3],
order 384, . The
reflection generators...