: How do I design an exact circle tiling in Inkscape? How do I design an exact circle tiling, like the one in this paper (first page, Figure 2, third column) but with the exact mathematical

@Turnbaugh909

The central trick is that the entire figure is composed of eighteen identical 60° arcs, which are rotated by simple angles. All you have to do is create these arcs, rotate them, and put them into place (with snapping):


Create a circle using the Create circles, ellipses, and arcs tool (hold Shift while dragging).
Duplicate it (Ctrl + D). I here make the duplicate red for better distinction.
Make it a 60° arc, either by dragging the handles (while pressing Ctrl) or by manually entering the value in the Create circles, ellipses, and arcs tool:


Activate Snapping, Snap to nodes or handles and Snap to cusp nodes.
Repeat the following twelve times:


Duplicate your arc.
Apply Object → Transform → Rotate by 30° as often as needed (or directly enter the correct value).
Position the new arc as needed such that it snaps. (Start with arcs adjacent to your original one to have a basis for snapping.)

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