# magic.2np1: Magic squares of odd order In magic: Create and Investigate Magic Squares

 magic.2np1 R Documentation

## Magic squares of odd order

### Description

Function to create magic squares of odd order

### Usage

```magic.2np1(m, ord.vec = c(-1, 1), break.vec = c(1, 0), start.point=NULL)
```

### Arguments

 `m` creates a magic square of order n=2m+1 `ord.vec` ordinary vector. Default value of `c(-1,1) ` corresponds to the usual northeast direction `break.vec` break vector. Default of `c(1,0)` corresponds to the usual south direction `start.point` Starting position for the method (ie coordinates of unity). Default value of NULL corresponds to row 1, column `m`

### Author(s)

Robin K. S. Hankin

### References

Written up in loads of places. The method (at least with the default ordinary and break vectors) seems to have been known since at least the Renaissance.

Benson and Jacoby, and the Mathematica website, discuss the problem with nondefault ordinary and break vectors.

`magic`, `magic.prime`

### Examples

```magic.2np1(1)
f <- function(n){is.magic(magic.2np1(n))}
all(sapply(1:20,f))

is.panmagic(magic.2np1(5,ord.vec=c(2,1),break.vec=c(1,3)))
```

magic documentation built on Nov. 16, 2022, 9:06 a.m.