- In mathematics, a
hyperoctahedral group is an
important type of
group that can be
realized as the
group of
symmetries of a
hypercube or of a cross-polytope...
- (ασ(1),..., ασ(n)). S 2 ≀ S n {\displaystyle S_{2}\wr S_{n}} (the
hyperoctahedral group). The
action of Sn on {1,...,n} is as above.
Since the symmetric...
- octahedron's
symmetry group is Oh, of
order 48, the
three dimensional hyperoctahedral group. This group's
subgroups include D3d (order 12), the symmetry...
-
crystallographic point groups of the
cubic crystal system. As the
hyperoctahedral group of
dimension 3 the full
octahedral group is the
wreath product...
-
folded together around every edge, it has Schläfli
symbol {4,3,3} with
hyperoctahedral symmetry of
order 384.
Constructed as a 4D
hyperprism made of two parallel...
-
obtain the
compound of
tesseract and 16-cell. List of
regular polytopes Hyperoctahedral group, the
symmetry group of the cross-polytope
Coxeter 1973, pp. 121–122...
-
portal Hypercube interconnection network of
computer architecture Hyperoctahedral group, the
symmetry group of the
hypercube Hypersphere Simplex Parallelotope...
- all
entries are ±1 is the
signed permutation matrices,
which is the
hyperoctahedral group. The
subgroup where the
entries are mth
roots of
unity μ m {\displaystyle...
-
Polyhedra 24: 8
cubes 16
tetrahedra Faces 56: 24
squares 32
triangles Edges 56
Vertices 24
Symmetry group Hyperoctahedral symmetry [4,3,3],
order 384...
-
consecutive primes (53 + 59 + 61 + 67 + 71 + 73). the
order of the
hyperoctahedral group for n = 4 the
double factorial of 8. an
abundant number. the...
