Congratulations! on finding #109, especially so soon after #108.

eleven wrote:I dont understand, what you mean. Maybe you talk of 64 patterns with exactly 2 automorphisms, but i just meant, that all these puzzles have at least 2 automorphisms, simply because they are vertically symmetric. Obviously some patterns have an additional automorphism, because you can switch rows, but i did not count them.

Sorry, I misread "18=2*3*3 clue puzzles" as "18 puzzles" instead of "18 clues."

As to the

number of automorphisms, "at least 2" is correct. However, strictly speaking it would be "at least 4." I raised this issue

earlier and a consensus was not reached, and

Pat agreed with you. To clarify, in vertically symmetric patterns there are two "validity preserving transformations", a) rotation about column 5, and b) swap of columns 4 and 6. Applying none, either one, or both yields 4 automorphisms.