hudson

Returns a regular pandiagonal magic square of order
\(6m\pm 1\) using a method developed by Hudson.

array

A collection of functions for the manipulation and
analysis of arbitrarily dimensioned arrays.  The original motivation
for the package was the development of efficient, vectorized
algorithms for the creation and investigation of magic squares and
high-dimensional magic hypercubes.

Robin K S Hankin

magic

Create and Investigate Magic Squares

hudson function

<dl> <dt>n</dt>
<dd>Order of the square, \(n=6m\pm 1\). If
 <code>NULL</code>, use the length of <code>a</code></dd> <dt>a</dt>
<dd>The first line of Hudson's \(A\) matrix. If
 <code>NULL</code>, use Hudson's value of <code>c(n-1,0:(n-2))</code></dd> <dt>b</dt>
<dd>The first line of Hudson's \(B\) matrix. If
 <code>NULL</code>, use Hudson's value of <code>c(2:(n-1),n,1)</code>.
 Using default values for <code>a</code> and <code>b</code> gives an associative square</dd></dl>

Arguments

Author

Pandiagonal magic squares due to Hudson — hudson

<dl>

 <dt>n</dt>
<dd>Order of the square, \(n=6m\pm 1\). If
 <code>NULL</code>, use the length of <code>a</code></dd>

 <dt>a</dt>
<dd>The first line of Hudson's \(A\) matrix. If
 <code>NULL</code>, use Hudson's value of <code>c(n-1,0:(n-2))</code></dd>

 <dt>b</dt>
<dd>The first line of Hudson's \(B\) matrix. If
 <code>NULL</code>, use Hudson's value of <code>c(2:(n-1),n,1)</code>.
 Using default values for <code>a</code> and <code>b</code> gives an associative square</dd>

</dl>

hudson: Pandiagonal magic squares due to Hudson

Description

Usage

Arguments

Author

Details

References

See Also

Examples