In practice, I would prob create the pattern using uv's (by simply offset the coordinate in your DCC/render software).
But if you want to build it as geometry, you can also use the flow deform, that can act like a uv conform operation.
You need the pattern, as source surface (a simple plane), and a sweep tube (with no cap).
It's better to resample the curve use for the sweep to create evenly point distribution (rebuild command).
Actually the hardest part is to find the right position on the surface when building the flow deform.
You have to pick the pattern, the source plane, then the target sweep surface, but depending where you click, the pattern orientation can be tiled, it's not always easy to find the right spot.
(I wish we could change the direction in the flow option instead to redo the 3 steps operation over and over)
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