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Make sure you have a really good factory setup to provide lots of rockets and sails though, from memory I had about 34 million sails in mine.
10 layers around an 2.2+ luminosity O class star usually nets me in the 12-15 TW range just from structure alone; without building any dyson shell from solar sails.
But that's with the largest possible layers, and a dense structure. (I like the truncated isohedrion grid, and then fill it out with minimum sized triangles)
You'll need Somewhere in the range of ~5M structure points in your sphere to hit the 1TW mark.
Each structure point in a Dyson is just under 100kW power output x Luminosity.
Stars in the game are color-shaded. B and O stars run the blue spectrum, the deeper the blue on the map, the higher the luminosity, the whiter, the lower. Start with the absolute highest luminosity star you can find on your map, then compare it to the bluest Giant on the map.
For reference, the absolute maximum luminosity of a star of any kind is 2.766. As ScepteredFish stated above, shooting for anything at or above the 2.5 range is still in the top ~5% of all possible blue stars and your best bet for maximum efficiency of a Dyson construction (or Sails and Solar panels for that matter).
1,000,000,000,000W / 96,000W / 2.1 = 4,960,317.5
Edit: Oops, too many zeroes... I doubt you'll need 1 Petawatt, heh.
1,000,000,000 / 96,000 / 2.1 = 4960.3
You'll need to build 4,960,318 4961 points worth of Dyson to hit 1TW. The planner should tell you what your current 'planned' Dyson point value is.
How you go about reaching that number of points built is entirely at your discretion. ;-)
It's been quite a while, but I want to say I don't think I actually had to do anything special to get that particular achievement, I think I got it through normal gameplay.
I got 3 0 stars, 2 with around 2.0x and 1 with 2.49x, but that good star is on the border of nowhere, so i'd rather build around a more central star for a base.
oh well. luck of the draw :(
Those systems will temporarily host some rocket production, and of course lots of launch silos, but nothing really beyond that. And those eventually get pulled out to make more room for ray receivers.