'Hour Maze'

Copyright 2011 Michael Reilly.  All Rights Reserved

Use numbers from a clock (1 to 12).
A number’s ‘neighbor’ (above, below, left or right, except if separated
by a maze wall) must be one of the two numbers nearest on a clock face.

Path Strategy

Path Strategy is similar to the notation used in Sudoku. For example, instead of filling in all the numbers at once, put a ‘1’ in a box, then count boxes and place a ‘12’ in the intended box. Conversely, if you started with a ‘3’ and went ‘4, 5, 6, etc.’, then the twelfth box would get a ‘2’ in it. 

(See Illustration ‘A’ below:)

 This helps a player to ‘jump ahead’ in planning their layout.

 This also allows players to imagine  ‘two potential outcome numbers’ in the twelfth box. For instance, starting with the number ‘3,’ if you count “4, 5, 6, etc.” then the twelfth box would get a ‘2’ in it. If you count down from the ‘3’  going “2, 1, 12, 11, etc.,” then the twelfth box would get a ‘4’ in it. Therefore, the potential for that box would be either a ‘2’ or a ‘4’ for that path. 

(See Illustration ‘B’ below:)

Non-Continuous Solution

Although the solutions require complete ‘sets’ of the numbers 1 through 12, those numbers do not have to ‘run’ continuously through a maze. For an example of this type of ‘non-continuous’ solution, see illustration below.

Note that the numbers in the grey shaded area are not connected continuously from 1 through to 12. But this solution still fulfills the requirement for 4 complete ‘sets’ of 1 through 12 since the grid is 6x8 which requires 4 sets.

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