## M Puzzle: Stained Glass

### by Lance Nathan

The first step of this puzzle is taking the cue from the priest that the exact colors are relevant. Loading the stained glass window into a graphics editor (such as GIMP, available on Athena), it's possible to use a tool to get the exact hex color of each pane. Each pane is pure red, green, or blue, so that only two digits of each are non-zero. The colors of the panes, and their sums, are as follows.

 1 770000 008600 000076 778676 2 000099 790000 009700 799799 3 008800 000099 770000 778899 4 990000 008800 000088 998888 5 000087 690000 007700 697787 6 008900 000079 880000 888979 7 990000 007700 000087 997787 8 000088 660000 007800 667888 9 008700 000077 990000 998777 10 880000 008800 000066 888866 11 000077 660000 007700 667777 12 006600 000097 860000 866697 13 990000 007800 000078 997878 14 000068 760000 006900 766968 15 009900 000067 760000 769967 16 660000 008800 000078 668878 17 000089 880000 007900 887989 18 007600 000086 770000 777686

The discussion of "changes," the fact that these are all strings of six digits which are all 6, 7, 8, or 9, and the eight by eight table headed by a father, mother, and six children all suggest the I Ching, whose trigrams are associated with the eight members of a family. 7 stands for masculine, 8 for feminine; 6, feminine changing to masculine, and 9, masculine changing to feminine.

Each string of six digits can be taken to be a pair of hexagrams. For instance, the hexagram in the first row, 778676, can be taken as a move from 778777 to 778878. The pairs (not in order) are therefore:

• 887777 ... 777777
• 777777 ... 788788
• 788788 ... 777878
• 777878 ... 887878
• 777888 ... 777787
• 777787 ... 887787
• 887787 ... 887888
• 887888 ... 777888
• 888777 ... 888878
• 888878 ... 778878
• 778878 ... 778777
• 778777 ... 888777
• 888888 ... 888877
• 888877 ... 877787
• 877787 ... 787787
• 787787 ... 778877
• 778877 ... 778888
• 778888 ... 888888

Taking the floor tiles as a grid, then, and labelling each row and column with the trigrams, one can trace lines (just as the boss paced them out on the floor) from the first hexagram in each pair to the second. These give (more or less, depending on how square your grid is):

and the answer is MOOD.

Training:

The training is M TO F CHANGE, and this gives the new answer, FOOD.