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The National Cipher Challenge

Reply To: Maths

#97788
RickOShea
Participant

Follow-up post to #97505 – coin placing puzzle. It is relatively easy to find a solution to the puzzle by trial and error, although it does take me a while. I haven’t found a strategy that always works without some iteration.

Here is one solution:

00X00000
0000X000
0X000000
0000000X
X0000000
000000X0
000X0000
00000X00

In this case, there will be just one rotation of 90 degrees providing a another solution. Rotation of 180 degrees returns to the original pattern.

Having attempted to simulate all possible coin positions and checked for compliance with the rules, I believe there are 92 different solutions to the puzzle, but they are grouped with up to three rotations and up to four reflections of the same basic solution and then additional reflections of each rotation. It’s looking more like nine unique solutions excluding symmetries.

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