Enigma 1605: Every month
7 January 2012
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From New Scientist #2770, 24th July 2010 [link]
As a novelty calendar, I have made three cubes, and on each of the 18 sides I have painted one different capital letter, with at least one vowel on each cube. These are packed in a rectangular box, on one of whose sides is a picture of how the three cubes might look if laid side-by-side in a row displaying the first three letters of one month: for example, JAN for January. The first three letters of all the remaining months can be formed by shuffling and turning the cubes.
(a) What month is actually on the box?
(b) What other letters, in alphabetical order, are on the cube carrying the N?