In 2002, Walter Trump created the first trimagic square. It has order 12 and is therefore the smallest possible trimagic square.

The *original square* was created by the specified author and these are absolutely different squares. From this original square n!!/2 squares can be created by applying symmetric row-column-permutations. In a strict sense, these are therefore not new squares. So for order 12 we will get 12!!/2=23040 squares.

In 2018, Walter Trump created 33 more trimagic squares that are completely different from the original square and thus can not be generated from them by row-column permutations.

Author | |
---|---|

Trump (2002) | |

Trump (2018) |

All algorithms are described in detail in my PDF book. (chapter: *Trimagic Squares*)