My understanding is that you can achieve higher density with a toroidal dyson swarm (e.g., http://burtleburtle.net/bob/scifi/dyson.html http://burtleburtle.net/

My understanding is that you can achieve higher density with a toroidal dyson swarm (e.g., http://burtleburtle.net/bob/scifi/dyson.html http://burtleburtle.net/bob/scifi/dyson.html ) , although this has the drawback that planet position in the habitable zone varies.