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magic (version 1.6-1)

allsubhypercubes: Subhypercubes of magic hypercubes

Description

Extracts all subhypercubes from an n-dimensional hypercube.

Usage

allsubhypercubes(a)

Value

Returns a list, each element of which is a subhypercube of a. Note that major diagonals are also returned (as n-by-1 arrays).

The names of the list are the extracted subhypercubes. Consider

a <- magichypercube.4n(1,d=4) (so n=4) and if jj <- allsubhypercubes(a), consider jj[9]. The name of

jj[9] is "n-i+1,i,i,"; its value is a square matrix. The columns of jj[9] may be recovered by a[n-i+1,i,i,]

with \(i=1\ldots n\) (NB: that is, jj[[9]] == cbind(a[n-1+1,1,1,], a[n-2+1,2,2,], a[n-3+1,3,3,], a[n-4+1,4,4,]) where n=4).

The list does not include the whole array.

Arguments

a

The magic hypercube whose subhypercubes are computed

Author

Robin K. S. Hankin

See Also

is.perfect

Examples

Run this code
  a <- magichypercube.4n(1,d=4)
  allsubhypercubes(a)

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