Dyson Sphere: Difference between revisions

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 Spheres around the same star do not block each other, the best single system power output is to find the brightest star and build the 10 largest spheres possible around that single star.
+== Maximum Dyson sphere radius ==
+While the energy output of a sphere depends on the star's luminosity, the maximum energy output of a star depends much more on the largest possible Dyson sphere radius. It is possible to build up to 10 spheres around the same star. Additionally, spheres cannot be closer than 1000 units. This means that for a maxed out system total power is proportional to:
+(MAX_RADIUS * 0.0191) ^ 2 + (MAX_RADIUS * 0.0191 - 19.1) ^ 2 + (MAX_RADIUS * 0.0191 - 38.2) ^ 2 +... = (10 * MAX_RADIUS ^ 2 - 90000 * MAX_RADIUS + 285000000) * 0.0191 ^ 2
+Substituting into the equation before,
+MAX_POWER = LUMINOSITY * 4 * π * (10 * MAX_RADIUS ^ 2 - 90000 * MAX_RADIUS + 285000000) * 0.0191 ^ 2 * (15 + 96 * 0.08) kW for a general case
+Here are some measured values from two separate seeds:
+{| class="wikitable sortable"
+!Mass
+!Luminosity
+!Radius
+!Type
+!Max sphere radius
+!Max power for a general case, TW
+|-
+|0.608
+|0.891
+|0.86
+|M
+|19100
+|0.205
+|-
+|0.955
+|0.989
+|1.05
+|G
+|21900
+|0.320
+|-
+|0.991
+|0.998
+|1.00
+|G
+|22200
+|0.334
+|-
+|0.434
+|0.358
+|0.26
+|White dwarf
+|23900
+|0.143
+|-
+|45.658
+|0.175
+|3.62
+|Black hole
+|55300
+|0.471
+|-
+|14.616
+|1.858
+|3.06
+|B
+|59900
+|5.945
+|-
+|0.403
+|0.929
+|16.79
+|M, giant
+|60600
+|3.048
+|-
+|94.557
+|0.197
+|3.79
+|Black hole
+|61800
+|0.674
+|-
+|49.419
+|2.462
+|4.36
+|O
+|74400
+|12.528
+|-
+|16.88
+|2.196
+|12.97
+|B, giant
+|199500
+|86.839
+|-
+|26.636
+|2.44
+|13.33
+|O, giant
+|216600
+|114.149
+|-
+|26.798
+|2.443
+|17.04
+|O, giant
+|216800
+|114.505
+|}
+While it's difficult to make any concrete rules, we can see a general trend of maximum sphere radius correlating to mass and spectral class. More importantly, the maximum sphere radius increases by a factor of around 3 when the star is a giant, resulting in a huge increase in power output.
+These results also imply that the best way to get a power production record is not to play on seeds with 10 O-type stars, but instead to look for seeds with multiple high-luminosity giants.
 ==Preliminary testing==