Order 4 magic squares

At the moment this is a list of order 4 magic squares.
It's going to become a detailed article about the topic.

The characteristic masks on the left of the collapsible tables are the pattern of fields without blue or green background. They are the exclusive or of the four masks shown below each magic square.

The types named by roman numerals are the usual way to order magic squares by the position of complement pairs:
http://www.magic-squares.net/order4list.htm
http://gaspalou.fr/magic-squares/transformation.htm

| A panmagic square (found here) |  | The Melencolia square (found here)

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## 0 in corner (208 squares)[edit | edit source]

2 of type VI

*   *

2 of type VI

*   *

2 of type XI

*   *

2 of type XII

*   *

12 of type I

* panmagic square

*   * panmagic square

*   * panmagic square

*   *   *   *   *   *   *

12 of type II

*   *   *   *   *   *   *   *   *   *   *   *

12 of type III

*   *   *   *   *   *   * Yang Hui square

* Melencolia square

*   *   *   *

2 of type VI

*   *

2 of type VI

*   *

2 of type IX

*   *

2 of type VIII

*   *

24 of type V

*   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *

24 of type IV

*   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *

24 of type VI

*   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *

24 of type VI

*   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *

* * *

2 of type VI

*   *

2 of type VI

*   *

2 of type VI

*   *

2 of type VI

*   *

2 of type VI

*   *

2 of type VI

*   *

2 of type VI

*   *

2 of type VI

*   *

2 of type VI

*   *

2 of type VI

*   *

2 of type VI

*   *

2 of type VI

*   *

2 of type IX

*   *

2 of type VIII

*   *

2 of type VI

*   *

2 of type VI

*   *

2 of type VI

*   *

2 of type VI

*   *

6 of type IX

*   *   *   *   *   *

6 of type VIII

*   *   *   *   *   *

6 of type IX

*   *   *   *   *   *

6 of type VIII

*   *   *   *   *   *

## Magic sum quadruples[edit | edit source]

## To be continued[edit | edit source]

24 of type V

*   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *

24 of type IV

*   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *

2 of type XI

*   *

2 of type XII

*   *

6 of type VII

*   *   *   *   *   *

6 of type X

*   *   *   *   *   *

6 of type VII

*   *   *   *   *   *

6 of type X

*   *   *   *   *   *

2 of type VII

*   *

2 of type X

*   *

2 of type VII

*   *

2 of type X

*   *