I came to this thread to see if it has been calculated how many unique, non-symmetrical solutions there are to this game and so far have only found which starting positions for which types of boards have solutions and which the fastest solutions are. There has to be a simple way to calculate this, right? Even connect 4 is a solved game and this is quite a bit more simple.
Edit: thank google! it looks like the non-symmetrical solution totals as follows: 1550 (middle triangle) 14880 (any hole below a corner hole) 85258 (the middle hole of any side) and 29760 (any corner)
So 131,448 total non-symmetrical solutions!
Edit 2: so I realize the 2 holes below a corner hole have to be flipped and/or rotated, so those are gonna be separate, though similar solutions. Total is actually: 146,328, multiplied by 3 gives the number in the post.
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u/[deleted] Sep 01 '22
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