Definition of Hyperoctahedral. Meaning of Hyperoctahedral. Synonyms of Hyperoctahedral

Here you will find one or more explanations in English for the word Hyperoctahedral. Also in the bottom left of the page several parts of wikipedia pages related to the word Hyperoctahedral and, of course, Hyperoctahedral synonyms and on the right images related to the word Hyperoctahedral.

Definition of Hyperoctahedral

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Meaning of Hyperoctahedral from wikipedia

- 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...
- 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...
- portal Hypercube interconnection network of computer architecture Hyperoctahedral group, the symmetry group of the hypercube Hypersphere Simplex Parallelotope...
- 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...
- 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...
- octahedron's symmetry group is Oh, of order 48, the three dimensional hyperoctahedral group. This group's subgroups include D3d (order 12), the symmetry...
- 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...
- (2011). The even double factorials give the numbers of elements of the hyperoctahedral groups (signed permutations or symmetries of a hypercube) Stirling's...