page 3 - Eg 1.3

Example 1.3 Consider the two distinct latin squares of order 3 from Eg 1.1 above, and ‘superimpose them’. That is:

|---|--|---| |--|--|--| |-1-|2-|3--| |1-|2-|3-| | 2 |3 |1 |superimposed with |3 |1 |2 | |-3-|1-|2--| |2-|3-|1-| -----------| ----------

gives:

|----|----|----| |1,1-|2,2-|-3,3-| |2,3-|3,1-|-1,2-| -3,2--1,3---2,1--

What do you notice about the 3 × 3 = 9 pairs in this ‘superimposed matrix’?

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