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How do you add a topic00:39, 10 February 2007 (UTC) Swanback
I have a problem.
Envision a gate in space, through which spaceships come. The gate is a sphere 2,5km in radius. At the end of this radius, distance is measured (so that two entities on opposite sides of the gate are both 0km from the gate, but 5km from each other). Now, a spaceship coming through the gate will spawn 12km away from the gatesphere, completely randomly across the 'surface' of this spawn-sphere. I have an X number of ships, for this sake let us say 10 ships, and these can fire up to 10km away, spherically of course. My question really, is how do I place these ships to have the BEST statistical coverage, with the most chance of trapping the enemy spaceship which spawns on the spawnsphere?
I can make them orbit the gatesphere at a distance of 10 or 15km. While this penalizes them - their own attack-sphere not being used to its full potential - it is not that alone, which makes me not want to solve my problem through this alternative. It is much rather that by placing my ships statically and according to formulas, I should be able to cover much more, whereas a random, uncoordinated orbit of all my ships will.. well, their attack-spheres will meet each other, overlap, and thus greatly penalize me.
Thank you for all help! 81.93.102.185 16:26, 10 February 2007 (UTC)
Question..
Mathematics desk | ||
---|---|---|
< February 9 | << Jan | February | Mar >> | February 11 > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
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The page you are currently viewing is a transcluded archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
How do you add a topic00:39, 10 February 2007 (UTC) Swanback
I have a problem.
Envision a gate in space, through which spaceships come. The gate is a sphere 2,5km in radius. At the end of this radius, distance is measured (so that two entities on opposite sides of the gate are both 0km from the gate, but 5km from each other). Now, a spaceship coming through the gate will spawn 12km away from the gatesphere, completely randomly across the 'surface' of this spawn-sphere. I have an X number of ships, for this sake let us say 10 ships, and these can fire up to 10km away, spherically of course. My question really, is how do I place these ships to have the BEST statistical coverage, with the most chance of trapping the enemy spaceship which spawns on the spawnsphere?
I can make them orbit the gatesphere at a distance of 10 or 15km. While this penalizes them - their own attack-sphere not being used to its full potential - it is not that alone, which makes me not want to solve my problem through this alternative. It is much rather that by placing my ships statically and according to formulas, I should be able to cover much more, whereas a random, uncoordinated orbit of all my ships will.. well, their attack-spheres will meet each other, overlap, and thus greatly penalize me.
Thank you for all help! 81.93.102.185 16:26, 10 February 2007 (UTC)
Question..