Enigma 1355: Cube words
16 January 2014
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From New Scientist #2514, 27th August 2005
Mitch has 27 small wooden cubes and each has a letter on it. He builds the cubes into a large 3×3×3 cube with the vertical sides running east-west and north-south. He reads off 27 three-letter words from the large cube as follows:
9 are vertical columns which he reads from top to bottom;
9 are horizontal rows which run from west to east and which he read from west to east;
9 are horizontal rows which run north to south and which he reads from north to south.
The 27 words he reads off are:
acb, aeb, afd, bae, baf, bcd, bce, bde, bec, cbe, cda, cef, cfe, daf, dba, dca, dea, dfe, ebc, ebd, edc, efa, efb, efd, fab, feb, fec.
Which are the three words that go though the centre of the large cube?