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Moon Hotspot


AirMe

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[quote name='Chintan' timestamp='1322732214' post='2858067']
(2, -137) URL: lon=-137&lat=2
[/quote]

We have a winner.
Thanks as always, Chintan.

[img]http://www.rgaltizer.com/sharefolder/decembermoon.jpg[/img]

Edited by Keenedge
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[quote name='Captain Nathan Brittles' timestamp='1322801711' post='2858977']
No it's not.
[/quote]

What? I'm pretty sure the last time I reset my mars colony, the colony's citizen count was set to 5% of my total citizen count immediately before the reset, and that total citizen count includes the mars citizens I had before the reset.

Edited by Chintan
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[quote name='Chintan' timestamp='1322814450' post='2859243']
What? I'm pretty sure the last time I reset my mars colony, the colony's citizen count was set to 5% of my total citizen count immediately before the reset, and that total citizen count includes the mars citizens I had before the reset.
[/quote]

If that were the case, then wouldn't you just keep gaining extra citizens with every reset of your colony? That wouldn't really make sense.

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[quote name='jonnygozy' timestamp='1322840588' post='2859390']
If that were the case, then wouldn't you just keep gaining extra citizens with every reset of your colony? That wouldn't really make sense.
[/quote]

Not really. It'll approach a maximum, which is 6.38298% for the moon colony and 5.26316% for the mars colony.

Suppose you have 100,000 earth citizens and 6,382 moon citizens, so your total citizen count is 106,382. If you reset, your moon population gets set to 6% of 106,382, which is 6,382, so your colony population doesn't change at all.

If your moon population is less than 6.38298% of your earth population and you reset the colony, you'll gain citizens, but if it's above 6.38298% of your earth population, you'll actually lose citizens.

Here's what happens if you buy a new colony and keep resetting over and over (assuming you have 100k earth citizens and 100% colony effectiveness every time you reset):

Start: 100,000 earth population; 0 moon population; 100,000 total population
New Colony: 100,000 earth population; (100,000)*6/100 = 6,000 moon population; 106,000 total population
1st reset: 100,000 earth population; (106,000)*6/100 = 6,360 moon population; 106,360 total population
2nd reset: 100,000 earth population; (106,360)*6/100 = 6,381 moon population; 106,381 total population
3rd reset: 100,000 earth population; (106,381)*6/100 = 6,382 moon population; 106,382 total population

And then any resets after that don't change the moon population. It just stays at 6,382.

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  • 4 weeks later...

[size="5"][b]Moon Hotspot Location (January 2012):[/b][/size]

[size="5"][b](-60, 89) URL: lon=89&lat=-60[/b][/size]

Points Tried:
(2, -137): 50%
(-12, -19): 50%
(-48, 120): 85%
(-60, 91): 99%
(-60, 92): 98%
(-60, 90): 99%

Progress Maps:

With:
(2, -137): 50%
(-12, -19): 50%
[spoiler][img]https://lh6.googleusercontent.com/-_LV3N4qh7zs/TwAPi-6y7uI/AAAAAAAAARA/P8Tm-qJmqdk/s0/Screen%252520shot%2525202012-01-01%252520at%2525202.45.28%252520AM.png[/img][/spoiler]

With:
(2, -137): 50%
(-12, -19): 50%
(-48, 120): 85%
(-60, 91): 99%
(-60, 92): 98%
(-60, 90): 99%
[spoiler][img]https://lh5.googleusercontent.com/-L_jXtbduZnc/TwCODdq_LCI/AAAAAAAAARY/vDOCeFSurZY/s0/Screen%252520shot%2525202012-01-01%252520at%25252011.45.24%252520AM.png[/img][/spoiler]

Edited by Chintan
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  • 5 weeks later...

-60,91 is 50%, and so is -48,120

[size="1"]Close enough last time I never bothered moving[/size]

Ok, and tried a guess on the other side of moon close to where the line goes. 37,-63 is 73%.

Hotspot is 60,-15. Cuz I'm just an effin' rockstar like that.

[IMG]http://i39.tinypic.com/2ngeome.png[/IMG]

Edited by jraenar
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[quote name='jraenar' timestamp='1328076970' post='2912378']
-60,91 is 50%, and so is -48,120

[size="1"]Close enough last time I never bothered moving[/size]

Ok, and tried a guess on the other side of moon close to where the line goes. 37,-63 is 73%.

Hotspot is 60,-15. Cuz I'm just an effin' rockstar like that.

[IMG]http://i39.tinypic.com/2ngeome.png[/IMG]
[/quote]

Congrats! :awesome: Was it a guess, or did you calculate the location?

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Hacked together a little calculator based on previous discussions in the thread. First guess was just the midpoint of all the possibilities along the line. Adding that point to the originals narrowed it down to six possibilities, with the one I tried having the lowest deviance from the observed line of likelyhood.

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[quote name='jraenar' timestamp='1328079767' post='2912412']
Hacked together a little calculator based on previous discussions in the thread. First guess was just the midpoint of all the possibilities along the line. Adding that point to the originals narrowed it down to six possibilities, with the one I tried having the lowest deviance from the observed line of likelyhood.
[/quote]

Nice! :)

For the range of possible latitudes, did you use -11 to 85? How did you figure out that the latitude can't be over 85?

Edited by Chintan
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Hey, I just figured out that the mars and moon hotspots are related.

If you know the mars hotspot, you can find the approximate location of the moon hotspot by adding 30 to the latitude and subtracting 170 if it's over 85, and subtracting 109 from the longitude and adding 360 if it's below -180.

i.e.
moon hotspot = mars hotspot + (30, -109) mod (170, 360)

And of course you can invert that to go from the mars hotspot to the moon hotspot. It's approximate though: the actual hotspot can be off by 1 along each axis.

Surprised that no one discovered this earlier. :blink:

Edited by Chintan
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It wasn't so much figure out it can't be over 85/under -85, as noticing that the two linear regressions of previous hotspots have a region of overlap which 'balances' at around there. Where one line gives 85 at a particular longitude, the other gives -84, so I just skip those values.

That meshes with the mod 170, as well... I went with +/-85 as bounds because it was even and I figured that the actual line was really a single linear regression put through addition-and-modulus. I couldn't be futzed to figure out what the starting point was, so I just treated it as two and solved. The slope is very close on both (one is about 0.476, other is about 0.466) and is probably the same, only off by error from the points I collected. On second thought, 170/360 = 0.4722222. So that would be the real slope.

Interesting observation, I could make a small tweak and get my little calc to pop out either hotspot given a few spread out starting points from either moon or mars. I initially only focused on moon since that's what I have and I could easily test without having to pester people to try things.

With the off-by-one, I would guess that it's actually entirely consistent, and will choose the point that is closest tangential distance from the line. Hotspot would be determined by a point on the line, and choosing the closest whole number coordinates to that point.

Edited by jraenar
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[quote name='Chintan' timestamp='1328093550' post='2912474']
Hey, I just figured out that the mars and moon hotspots are related.

If you know the mars hotspot, you can find the approximate location of the moon hotspot by adding 30 to the latitude and subtracting 170 if it's over 85, and subtracting 109 from the longitude and adding 360 if it's below -180.

i.e.
moon hotspot = mars hotspot + (30, -109) mod (170, 360)

And of course you can invert that to go from the mars hotspot to the moon hotspot. It's approximate though: the actual hotspot can be off by 1 along each axis.

Surprised that no one discovered this earlier. :blink:
[/quote]
Try running it with modulus (169, 360).

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