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#1: Jan Wolter (jan) on Mar 29, 2004

I'm wondering how much can be said about the symmetry of the design based on the symmetry of the clues. I know a five-by-five grid with one black in each row and column has a solution with no symmetry at all, even though the clues are as symmetrical as you can get. It does have solutions with diagonal lines of symmetry too though.

Given that the clues are symmetric, how asymmetric could the solution be?

A lot of symmetry, but still a lot of work! Very nice!

If a certain reflection of the puzzle board leaves the clues unchanged, then that reflection applied to any solution will produce another solution. So it follows that if there is a unique solution, it must be unchanged by the reflection. (I.e., it's symmetric.)

too symmetric for me, but a good puzzle

Cute design Jan. Thanks.

I got the joke! Is a Knot! Yes, I'm easily amused, and partially inspired!

Go! Scylla GO! You can do it. ;-)

one word, AWESOME, I LOVED IT. THX

That looks like more than one word to me, Scott.

Fun to solve, especially when you force yourself to stick with logic in the process.

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Nice solve.

Beautiful and a bit of a challenge!

pretty design, and nice solve

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