In cases like this, it's probably easier to do everything in nodes instead of trying to make something follow...

Starting geometry

For this node group, we start with just a curve (that will define the "sections" or "pillars")

This curve is on X-Z plane, being Z the center of the rotation.

Nodes

The nodes follow 3 main groups with clear functions:

• Section Creation - Replicates the section curve forming all the pillars
• Weave Creation - Creates one circle for each horizontal weave, at the correct height and with correct diameter
• Weaving - Adds the oscilation to the circles

Section Creation

Instances the original curve and rotates it around

Weave Creation

• Resamples the original curve, each point will be a weave
• Captures the radius (X) and the factor along the section for each weave
• Keeps only the Z of the original curve (for centering the circles)
• Instances one circle per resampled point
• Sets positions to make the radius of each circle equal to the captured radius

Weaving

Here the math happens. (It needs an even number of sections to work seamlessly)

• Enforces the normal of the section to be Y, so we can get a vector that is perpendicular both to Y and to the tangent of the section (weaves will be displaced along this vector)
• Sets the position of each point in the weave circles such as:
  • Factor on the circle is converted to number of oscilations (multiplication by Pi and section count)
  • Circles with odd indices get an additional half wave phasing (addition of pi considering the floored modulo)
  • Direction of oscilation is sampled from the section curve using the factor that was captured back when creating the weave circles

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