5x4 (5 wide, 4 across), beginning by moving in the 5 direction gets 73 patterns; beginning by moving in the 4 direction gets 87. I left the software to do the drawings on the other computer, will try to get them rendered before I flee the country.
Descenders and ascenders sound like an idea; there's also serif potential but I wonder if that might not just look messy.
4x4 starting in arbitrary places gets me 552, but I suspect a lot of those look identical (since the line has no direction to it), and a lot more are rotations or reflections of one another. Basically you can start at 0,0 (52, but they come in pairs depending whether they go to [1,0] or [0,1] first); or at 0,1 (25); or at 1,1 (36)
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Descenders and ascenders sound like an idea; there's also serif potential but I wonder if that might not just look messy.
4x4 starting in arbitrary places gets me 552, but I suspect a lot of those look identical (since the line has no direction to it), and a lot more are rotations or reflections of one another. Basically you can start at 0,0 (52, but they come in pairs depending whether they go to [1,0] or [0,1] first); or at 0,1 (25); or at 1,1 (36)