- A
hyperoctahedral group is a type of
mathematical group that
arises as the
group of
symmetries of a
hypercube or of a cross-polytope. It was
named by...
-
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...
- (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...
-
crystallographic point groups of the
cubic crystal system. As the
hyperoctahedral group of
dimension 3 the full
octahedral group is the
wreath product...
-
portal Hypercube interconnection network of
computer architecture Hyperoctahedral group, the
symmetry group of the
hypercube Hypersphere Simplex Parallelotope...
- octahedron's
symmetry group is Oh, of
order 48, the
three dimensional hyperoctahedral group. This group's
subgroups include D3d (order 12), the symmetry...
- (2011). The even
double factorials give the
numbers of
elements of the
hyperoctahedral groups (signed
permutations or
symmetries of a hypercube) Stirling's...
- {\displaystyle (S_{2n},H_{n})} (here, H n {\displaystyle H_{n}} is the
hyperoctahedral group) and ( G l n ( R ) , O n ) {\displaystyle (Gl_{n}(\mathbb {R}...
-
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...
- n-cube and its dual, the n-cross-polytope, is Bn, and is
known as the
hyperoctahedral group. The
exceptional regular polytopes in
dimensions two, three,...
