Monday, April 9, 2018

geometry - Hexagonal minesweeper


Based on a puzzle given to us by Jamal Senjaya I created a bigger one. Hope it is not too easy. enter image description here


The number in circle means how many of adjacent triangles should be painted blue.


EDIT
I did not mention (I was not aware) that the puzzle has many (I hope not too many) possible solutions. There is one however that "makes more sense" - if you see it you will know that this is it. All valid solutions will earn an upvote (hopefully not only from me), but only "the one" will be accepted. The desired solution can be distinguished by the fact that the resulting image is a 4-letter word.




Answer



This displays the missing verbal ingredient, which certainly does add a nice dimension to the puzzle.



$ \small\sf \color{black}{\text{The word is }} \normalsize\it \rlap{NICE} $



Began with Jonathan Allan’s report of which triangles had certain values, then considered the four-letter hint, noticed what the third letter must be, and defocused for the rest.


Arrows point where the goal of forming letters suggested filled-in triangles in the top half. Each suggestion led to a few more forced values, until three fairly-certain letters were apparent.






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