### Anniversary Square

Magic square water retention calligraphy is an invention of Craig Knecht. He designed this 14x14 square to celebrate the 500th anniversary of Dürer's magic square.

Craig filled in the cell numbers in the 1514 and 2014 patterns plus some drains, etc., and then used the program CompleteSquare. The original water retention was 2098 units. A bit of tweaking reduced this to 2014 units. Then, Craig adjusted it a bit more to add the 1471-1528 dates.

The 196x196 square is a composite of the 14x14 square and itself made with CompositeSquares. The water retention cells and units image was made with WaterRetention, (the .html file was edited to add the 1471-1528 dates color, the caption, etc.). Finally, the 3D water retention views were made with WaterRetention3D. The 196x196 3D .svg file was 17.0 MB and the .jpg made from it with Corel's PaintShop® Pro was a 9800x9800 24.2 MB with the cell numbers clearly readable. Here is a 7350x7350 13.6 MB copy.

#### Composite Notes

To follow these notes, it will be helpful to have the 14x14 square up in another window.

```  Each cell of the 14x14 square becomes a 14x14 square in the 196x196.
The values in these 14x14 squares are:

(the cell value minus 1) times 196 plus (the original square values)

For example:
. the seventh square down on the right side in the 196x196,
(corresponding to 1, (row 7, column 14), in the original square),
is the original square:

(1 - 1) x 196 + the original square values

. the fourth 14x14 square from left along the bottom in the 196x196,
(corresponding to 2, (row 14, column 4), in the original square),
is:

(2 - 1) x 196 + the original square values

196 + 100  196 + 119  196 + 183 ...

So:

1) Each cell retaining water in the original square is replaced by a
14x14 square retaining water in the 196x196 square, making the big
water pattern.

2) Each cell in the original square that is not bordered by a cell
with a bigger number, is replaced by a 14x14 square that has only
the original water pattern. For example:

183, 194, 154, 150, 168, 192, ...

3) Each cell in the original square that is bordered by one or more
cells with a bigger number, is replaced by a 14x14 square that
has the original water pattern + "noise", (extra water), along the
border(s) with the bigger numbers, for example:

100 on the border with 119
93 on the border with 100, on the border with 168,
and on the border with 101
...

So, for the composite square to have no "noise", all cells outside the
water pattern, i.e., dry cells, in the original square have to drain to
a border with a smaller cell number, for example:

For the 100 position, all dry cells have to drain to the left, top,
or bottom in the original square.
For the  93 position, all dry cells have to drain to the left side in
original square.
...
```