# Magic Square Art

## Background

Craig Knecht had an idea of a "prime number viewer" for
magic squares. Program HighlightSquare was written for this. It displays number rectangles with featured cells highlighted in color. Optionally, groups of connected cells are colored differently by group size.

By ommitting the rectangle numbers, some features display as interesting patterns.
Notable are odd or even numbers of composites of associative squares. The pattern varieties can be greatly increased with square transformations.

## Even Number Examples

### Order 27

These are order 3 composites.

### Order 45

These are composites of orders 3 and 5.

### Order 81

These are order 3 composites.

### Order 125

These are order 5 composites.

## Odd Number Examples

### Order 36

These are composites of orders 3 and 4.

### Order 75

These are composites of orders 3 and 5.

### Order 80

These are composites of orders 4 and 5.

### Order 108

These are composites of orders 3 and 4.

### Order 135

These are composites of orders 3 and 5.