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Results tagged with latin-square
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user 63962
A combinatorial puzzle related to Latin squares.
2
votes
Combinations on superimposed latin squares
Can someone find two latin squares which, when superimposed give 13 combinations with 2 repetitions and 2 combinations with 5 repetitions?
a..... b.....
.a.... .b....
..a... ..b...
...a.. ...b. …
6
votes
2
answers
443
views
Taking turns adding a number 1,2,3 to a 3x3 matrix without repeating numbers in the rows or ...
Alice and Bob are playing a game on an initially empty 3x3 matrix. They take turns, and each turn:
They add a number in {1,2,3} to an empty cell.
They are not allowed to repeat a number in a row or …
6
votes
Accepted
Tiling a 5x5 square with five pentominoes AND a Latin square
aaaab
acbbb
ccddb
cddee
cdeee
Let's try to find a Latin square orthogonal mate. By symmetry, we begin with
1234.
5....
.....
.....
.....
We are forced to place a 1 and a 5 as follows (considering …