Mathematics desk | ||
---|---|---|
< July 26 | << Jun | July | Aug >> | Current desk > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
---|
The page you are currently viewing is a transcluded archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
Some mathematicians call Latin squares which have distinct elements in their diagonals "diagonal-complete Latin squares", such as this order-4 one:
0123 3210 1032 2301
which has diagonals 0231 and 2013.
I understand that there are no order-3 ones as one diagonal has repeated elements:
012 201 120
This PDF gives an order-5 one:
01234 23401 40123 12340 34012
but I can't understand the algorithm to construct diagonal-complete Latin squares. Can someone please explain in simple terms? For example, how can I build an order-6 one?
Thanks,
cmɢʟee⎆
τaʟκ 19:56, 27 July 2023 (UTC)
Before the process found this, it tried the number 1 for cell (2, 2) and got as far as
Mathematics desk | ||
---|---|---|
< July 26 | << Jun | July | Aug >> | Current desk > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
---|
The page you are currently viewing is a transcluded archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
Some mathematicians call Latin squares which have distinct elements in their diagonals "diagonal-complete Latin squares", such as this order-4 one:
0123 3210 1032 2301
which has diagonals 0231 and 2013.
I understand that there are no order-3 ones as one diagonal has repeated elements:
012 201 120
This PDF gives an order-5 one:
01234 23401 40123 12340 34012
but I can't understand the algorithm to construct diagonal-complete Latin squares. Can someone please explain in simple terms? For example, how can I build an order-6 one?
Thanks,
cmɢʟee⎆
τaʟκ 19:56, 27 July 2023 (UTC)
Before the process found this, it tried the number 1 for cell (2, 2) and got as far as