Enigma 1375: Patterns of colour
5 November 2013
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From New Scientist #2535, 21st January 2006
Pussicato’s latest painting is a 6-by-6 array of small squares, and each square contains just one colour. At the gallery I saw a group of six girl students looking at the painting. Each girl selected a different horizontal row and independently wrote down the pattern of colours in her row, from left to right, by simply giving a different number to each colour in her row.
Talking to the girls I found the patterns in the rows were as follows. First, i.e. top, row 121341, second row 112213, third row 123221, fourth row 121222, fifth row 122113, sixth, i.e. bottom, row 122134.
Later, another group of six girls carried out the same process for the vertical columns of the painting. Again I noted the patterns, from top to bottom, but unfortunately I forgot to note which column is which.
The patterns in the columns were as above, in no particular order. Pussicato painted more squares green than any other colour.
How many squares in the painting were green?