Editing Magic square (section)

===For pan-diagonal magic squares===
* A pan-diagonal magic square remains a pan-diagonal magic square under cyclic shifting of rows or of columns or both.<ref name="Kraitchik1953" /> This allows us to position a given number in any one of the ''n''<sup>2</sup> cells of an ''n'' order square. Thus, for a given pan-magic square, there are ''n''<sup>2</sup> equivalent pan-magic squares. In the example below, the original square on the left is transformed by shifting the first row to the bottom to obtain a new pan-magic square in the middle. Next, the 1st and 2nd column of the middle pan-magic square is circularly shifted to the right to obtain a new pan-magic square on the right.
{{col-begin|width=auto;margin:0.5em auto}}
{{col-break|valign=bottom}}
{| class="wikitable" style="margin-left:auto;margin-right:auto;text-align:center;width:8em;height:8em;table-layout:fixed;"
|-
| style="background-color: silver;"|10 || style="background-color: silver;"|3 || style="background-color: silver;"|13 || style="background-color: silver;"|8
|-
| 5 || 16 || 2 || 11
|-
| 4 || 9 || 7 || 14
|-
| 15 || 6 || 12 || 1
|}
{{col-break|valign=bottom|gap=1em}}
{| class="wikitable" style="margin-left:auto;margin-right:auto;text-align:center;width:8em;height:8em;table-layout:fixed;"
|-
| style="background-color: silver;"|5 || style="background-color: silver;"|16 || 2 || 11
|-
| style="background-color: silver;"|4 || style="background-color: silver;"|9 || 7 || 14
|-
| style="background-color: silver;"|15 || style="background-color: silver;"|6 || 12 || 1
|-
| style="background-color: silver;"|10 || style="background-color: silver;"|3 || 13 || 8
|}
{{col-break|valign=bottom|gap=1em}}
{| class="wikitable" style="margin-left:auto;margin-right:auto;text-align:center;width:8em;height:8em;table-layout:fixed;"
|-
| 2 || 11 || 5 || 16
|-
| 7 || 14 || 4 || 9
|-
| 12 || 1 || 15 || 6
|-
| 13 || 8 || 10 || 3
|}
{{col-end}}