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Now we just need half-width extrusions on the outer wall!
The thumbnail shows a hexagonal tiling, which is like a brick-laying pattern but rotated 90 degrees, so the "half bricks" are on the top and bottom, not the sides.
Maybe it would still work to orient the hexagons so the zig-zag part is on the walls, and then fill in the gaps with half-height half-width walls. Although "half" isn't exactly correct; the hexagons give you ugly trig numbers.
You don't need any ugly trig. You can just use a magic number. The magic number in question is 0.8660254, which is the ratio between the width of the longways (point-to-point) to shortways (flat-to-flat) dimensions of a regular hexagon. If you need half of that, divide it by 2 afterwards.
magic ⇏ ¬ugly
What is that? You do two half widths for each perimeter and it increases strength?
Just an offhand idea. If you look at the print in the thumbnail, you can see that while this clever brick-interleaving has eliminated the straight lines along the xy plane, the Z axis still has straight lines. Eliminating that so you have a "brick-interleaving" in all axis seems the most optimal.
Well you need either that or the video's idea. I think yours could be easier to implement and it requires fewer z-movements (and no reordering, can't remember if the video did that)
Oh, I see what you're getting at, interesting. I hope these land in a slicer sometime, it would be interesting to try out.