Is there a graphic showing where we can and cannot get to utilizing only a compass and straightedge?

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I know that we cannot get to the measurement of pi units utilizing a compass and straightedge. I was wondering if there is a graphic that shows points all points that can or cannot be found utilizing standard compass and straightedge techniques.

I also know the points we can get are infinite, the graphic I am thinking of would be a gradient of pure black being one one ¨movement¨ two ¨movements¨ being slightly faded towards white and so on. I think this would make a very interesting picture.