magic.product

magic.product.fast

Gives a magic square that is a product of two magic squares.

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

magic.product function

<dl> <dt>a</dt>
<dd>First magic square; if <code>a</code> is an integer, use <code>magic(a)</code>.</dd> <dt>b</dt>
<dd>as above</dd> <dt>mat</dt>
<dd>Matrix, of same size as <code>a</code>, of integers treated as
 modulo 8. Default value of <code>NULL</code> equivalent to passing
 <code>a*0</code>. Each number from 0-7 corresponds to one of the 8
 squares which have the same Frenicle's standard form, as generated
 by <code>transf()</code>. Then
 subsquares of the product square (ie tiles of the same size as
 <code>b</code>) are rotated and transposed appropriately according to
 their corresponding entry in <code>mat</code>. This is a lot easier to
 see than to describe (see examples section).</dd></dl>

Arguments

Author

Product of two magic squares — magic.product

<dl>

 <dt>a</dt>
<dd>First magic square; if <code>a</code> is an integer, use <code>magic(a)</code>.</dd>

 <dt>b</dt>
<dd>as above</dd>

 <dt>mat</dt>
<dd>Matrix, of same size as <code>a</code>, of integers treated as
 modulo 8. Default value of <code>NULL</code> equivalent to passing
 <code>a*0</code>. Each number from 0-7 corresponds to one of the 8
 squares which have the same Frenicle's standard form, as generated
 by <code>transf()</code>. Then
 subsquares of the product square (ie tiles of the same size as
 <code>b</code>) are rotated and transposed appropriately according to
 their corresponding entry in <code>mat</code>. This is a lot easier to
 see than to describe (see examples section).</dd>

</dl>

magic.product: Product of two magic squares

Description

Usage

Arguments

Author

Details

References

Examples