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I am trying to reproduce a poster I found, but I don't know exactly how to reproduce these concentric red lines inside the black circle.
I tried to use spirals but it didn't quite do the work. I could draw one by one but I am sure there is a better way!
This is an interesting question because there are several ways this could be done. Here's another method, using only three paths.
Drop a horizontal and vertical guide to give you a centre origin. Lock the guides.
Draw a circle centred on the origin, then fill it with purple, add a red stroke.
Using the Arc Tool - draw a single arc that fits to the edge of the circle, stroke red, no fill. Then click Object > Arrange > Send to Back
Using the centre origin again, draw a black circle, no fill, thick black stroke.
Then group everything.
Now, open the Appearance panel, and click on the fx button, and click Distort & Transform > Transform
Set the rotation angle to 45, copies to 7, enable the preview option to see it. Click OK to accept.
Draw an ellipse
Duplicate it (= drag horizontally holding Alt) Have the Smart Quides ON to be easily able to move only horizontally
3-4. Take the direct selection tool and delete 2 anchor points from each. Group the remaining quarters to keep them together.
Goto Object > Transform > Rotate, -45 degrees, Copy
Repeat 2 times by pressing Ctrl+D
This is optional (no image) Goto Object > Transform > Reflect > Vertical if you want to change the apparent rotational direction.
