Hi, I've been wondering while I was away from keyboard for cca. ten days; considering your unicursal mazes are formed by making orthogonal choices for paths, would designing unicursal mazes where there's a different choice of going through the maze. I can't exactly imagine this, as I haven't even formulated the thought properly. I hope my slight ramble isn't completely incoherent, and I hope you can answer this.
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As my message was too long I was unable to add thank you at the end, so thanks in advance :)
Thanks for the comment. If I understand you correctly, are you asking about non-orthogonal choices, such as a diagonal line? If you, I do study those types of fields as well. There's a type of field called the 3xN fields (such as 3x4, 3x6, etc.) where legitimate original pairs can't be completed UNLESS you use diagonal lines.
Go to the Gallery section of the website to Legacy Exhibit #1 and you'll see an example of a unicursal maze that can only be completed utilizing (but not exclusively) diagonal lines.
Ah I see, I must've missed it, thank you!