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I'd like to make a pen composed of wavy filigree, similar to overlapping vines with hollow spaces between the "vines." The overlapping of vines holds the cylindrical shape. How would we go about making that?

I am new to Blender and don't know what Tags to add to this question.

Here is an example of filigree used on a ring: example of filigree

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    $\begingroup$ My first thought is to create a flat curve with the design then extrude and the use a Curve modifier with a circular target.Try one of the main "create a logo in blender" tutorials to get the initial flat curve design. $\endgroup$ – rob Jul 5 '18 at 9:00
  • $\begingroup$ @rob How is the design made? Drawn with grease pencil? Drawn in Illustrator and imported? Make holes in a long slab and curve it? Not clear about the "design" aspect. $\endgroup$ – Steve Jul 5 '18 at 15:06
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    $\begingroup$ Google will get you many versions of the same tutorial topic, and the first one I followed so many years ago involved tracing an image in the background with Curve bezier objects and closing them, creating the pattern and then converting to mesh later after extrusion. $\endgroup$ – Craig D Jones Jul 5 '18 at 15:28
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    $\begingroup$ @CraigDJones This is helpful. If possible, I'll add to this page the links to the videos that directly address my question. $\endgroup$ – Steve Jul 5 '18 at 16:30
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    $\begingroup$ Create the base shape (it might be easier to draw it in a vector graphics program like inkscape or illustrator and export it as SVG, then import it into blender and give it some extrusion), then use a curve>circle and an array modifier in "fit curve" mode. See: blender.stackexchange.com/questions/23659/… and blender.stackexchange.com/questions/47717/… $\endgroup$ – cegaton Jul 5 '18 at 19:21
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Its not pretty but ...

Here I used the Bezier curves to make a basic design, you might be better off using a vector package like Inkscape and then importing your design. Note that it is Cyclic, 2D, Extruded and Beveled. enter image description here

I then converted the Curve into a Mesh (not sure that step is strictly necessary) and then added an Array modifier. enter image description here

Created a Bezier Circle and rotated it by 90 degrees on the X and scaled it by 4. enter image description here

Then added a Curve modifier after the array and set it to the new Circle. enter image description here

This all took minutes and is bit rough, but I hope it gives you some ideas.

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