![]() They were trying to figure out which stars could host a planet that was not so hideously uninhabitable that no possible form of life could live there. They were not trying to figure out which stars could host a human habitable planet. Note: the above equations are based upon the work of Jill Tarter and Margaret Turnbull. Type in the number, hit X y, type in 0.333333333 then hit the equal button.) (If your calculator does not have a cube root button, you can use the "X y" button instead. ![]() If you decide upon the number of stars in the empire and want to know it's radius: N hStars = number of stars with human habitable planets.If you decide upon the empire's radius and want to know how many stars and stars with Terran-type planets, use the rules of thumb: If you are mapping your empire, you will need to figure some sizes. This is because the equation for a volume of a sphere is 4/3 πr 3, but the dramatic increase in volume is not obvious by just eye-balling the equation. Specifically if the radius doubles the volume will increase about eight times (2 3). This means if the radius of an empire expands a teeny-tiny bit, the volume of the empire will expand lots and lots. Which means they are subject to a sort of cube law. ![]() ![]() This is because they generally start from a point (the homeworld) and expand in all directions like blowing up a balloon. First off, galactic empires tend to be spherical.
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