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Also, would be informative to know there are 'better' stars than others.
Ultimatly in terms of the the "narrative progression" it doesnt matter what star you pick. I find finding a solar system with a good supply of materials for long term longevity of construction. No point building a sphere in a system if you wasting a boat load of warpers jsut to bring in some copper.
There are a few rare seeds with 2.7l blue giants.
Dyson sphere output is very simple to calculate
output in kW = luminosity * (structure points * 96 kW + cell points * 15 kW)
Distance from the star, number of layers, spectral class, etc., etc. have no impact.
Each small rocket creates 1 structure point, each solar sail absorbed creates 1 cell point.
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So to create the highest possible output Dyson Sphere build the biggest most closely packed set of 10 layers around the largest highest luminosity star you can. You want as dense a structure as possible (to maximize structure points) and then fill in the rest with cells.
A few notes however:
1) Fortunately high luminosity stars are huge, so just find the brightest star.
2) A Sphere like that will really impact game performance. The absorbed solar sails in particular radically bloat size file size and slow frame-rate (they need more optimization)
3) Unless you're chasing the leaderboard position such a sphere is overkill -- it produces so much power that there literally isn't room on the star's planets for enough ray receivers to capture it all (even when using proliferated grav lenses to 4x boost their capture rate) You'll probably be 'wasting' at least 2/3rds of the power it can produce.