This seemed rather strange to me on second inspection, as it turns out that it has a few properties that I had previously thought might have been barriers to uniqueness. In particular, it fails a test I’ve devised to check whether if you have one solution, then you can only have one.
This test was something I came up with when inspecting the second puzzle again. I haven’t rigorously proved this to myself but it does make intuitive sense. The second puzzle does pass this test.
Anyhow, my apologies for being so cryptic – but be assured dearest reader that I am only because I don’t want to spoil the solving experience, and also with the promise of explaining all in a few days time. Until then, enjoy!
UPDATE (II): PUZZLE 105 EARLIER CAME WITH A SPECIAL OFFER OF MANY POSSIBLE SOLUTIONS FOR THE PRICE OF ONE!!!
#105 Numberlink – rated easyAll puzzles © Tom Collyer 2009-10
#106 Numberlink – rated medium