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I want to understand what is way to realize such concentric rings in illustrator more simply?

concentric rings with increase of amount of dots on path

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For a graphic like this I prefer to use the Polar Grid Tool, which is located in the sub-menu of the Line Segment Tool:

enter image description here

  1. Set the stroke to black with no fill and make it 3pt in thickness for the purposes of this explanation:

enter image description here

  1. Select the Polar Grid Tool and click on the artboard to bring up the Polar Grid Tool Options Menu:

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For this instance, let's use the settings in the image above. Click OK to apply settings. The results should be as follows:

enter image description here

  1. Use the Selection Tool to select the shape. Open the Stroke Panel and tick the Dashed Line, Round Caps and the Align Dashes to corners and path ends options. Additionally, set the Dash to 0pt and the Gap to 6pt:

enter image description here

enter image description here

  1. Add the center dot. Create a 3px by 3px circle with the Ellipse Tool and center it in the resulting space:

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As with many things in Illustrator, there are many ways to perform the same task. I find this option to be the most forgiving when it comes to making revisions since you only need to edit a few settings in easily accessible places. Hope it helps!

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This is not quite the same, but it should get you moving in the right direction...

First, create a circle with a dashed stroke, using settings that are something like those in the following screens shot:

enter image description here

Next, duplicate the circle and then enlarge the duplicate, keeping the circles on the same centre point. Then use the blend tool to create a blend between the inner and outer circles. I used a fixed distance blend, but you might prefer a specified number of steps. The result will look something like this:

enter image description here

You can adjust the density of the dots and the circles by tweaking the gap setting of the dashed stroke and the spacing of the blend. To adjust the size of the dots, just change the Weight of the strokes. If you want to fill in the centre, just reduce the size of the inner circle.

Like I said, not exactly the same as your example, but not bad for 5 minutes!

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    You could also create a dotted, wavy line, then use the Effect > Distort & Transform > Transform Effect panel to Rotate the line and specify the amount of steps you'd like. Creates a similar effect, and is fun to play with too! – GoofyMonkey Jan 5 '17 at 15:07
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    @GoofyMonkey: Wouldn't that produce a pattern with a high density of dots in the middle and relatively spaced out dots around the outside? – Westside Jan 5 '17 at 15:09
  • Possibly. I was playing around with this and got varying results. If you make sure you are rotating the line from one end (Bottom or Top) you get some interesting results. This method doesn't give you the result the question is asking for, which is why I didn't submit it as an answer, but may lead someone in a direction that will work. – GoofyMonkey Jan 5 '17 at 16:56

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