I found a method that avoids overlapping lines by noticing that the shape is basically made up of tesselated triangles of petals.
Use the first few steps of my previous example to make a triangular arrangement of three petals snapped together, like this:
Then snap copies of the triangle together to form a rough hexagon with 7 rows of:
3
4
5
6
5
4
3
Then snap single petals to close the gaps around the edges and draw the enclosing circle.
Phil
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