Unipolar Magnet Vein: Difference between revisions

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(Added more details on probability distributions for vein and patch counts)
 
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==Player Tips & Tricks==
==Player Tips & Tricks==
Magnets appear in patches of 14-17 veins.
Magnets appear in patches of 14-17 veins. For any patch there's a 40% chance of getting 15 veins, and a 20% chance of getting 14, 16, or 17 veins. The average number of veins in a patch is 15.4.


The number of patches is random, the chance of each count of patch is the following:
The number of patches on a planet is a random integer ranging from 1 to 12. There will always be exactly 2 stars which have unipolar magnets. Each will each exactly one planet, so the total number of patches ranges from 2 to 24.
 
 
The probability of each number of patches on one planet is shown in the following table. The expected number of patches on a planet is 2.841.
{| class="wikitable"
{| class="wikitable"
|+
|+
Line 41: Line 44:
!9
!9
!10
!10
!11+
!11
!12
|-
|-
|35%
|35.00%
|22.7%
|22.75%
|14.8%
|14.79%
|9.6%
|9.61%
|6.2%
|6.25%
|4.1%
|4.06%
|2.6%
|2.64%
|1.7%
|1.72%
|1.1%
|1.12%
|0.7%
|0.72%
|1.3%
|0.47%
|0.88%
|}
|}
There are 2 stars which have UMs, each having one planet, so total number of patches is
With only 2 planets containing unipolar magnets, the probabilities for total vein patch counts across a galaxy are show in the following table. The expected number of patches in a galaxy is 5.682.
{| class="wikitable"
{| class="wikitable"
|+
|+
!Vein Patch Count
!2
!2
!3
!3
Line 67: Line 73:
!9
!9
!10
!10
!11+
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
!23
!24
|-
|Probability
|12.25%
|15.92%
|15.53%
|13.46%
|10.93%
|8.53%
|6.47%
|4.80%
|3.51%
|2.52%
|1.81%
|1.68%
|1.03%
|0.62%
|0.37%
|0.22%
|0.13%
|0.08%
|0.05%
|0.03%
|0.01%
|0.01%
|0.01%
|-
|-
|12.2%
|Cumulative Probability
|15.9%
|100%
|15.5%
|87.75%
|13.5%
|71.83%
|10.9%
|56.30%
|8.5%
|42.84%
|6.5%
|31.91%
|4.8%
|23.38%
|3.5%
|16.91%
|8.6%
|12.11%
|8.60%
|6.06%
|4.24%
|2.56%
|1.53%
|0.91%
|0.54%
|0.31%
|0.18%
|0.10%
|0.06%
|0.03%
|0.02%
|0.01%
|}
|}
depending on galaxy seed
Given that the average number of patches in a galaxy is 5.682 and the average number of veins in a patch is 15.4, we have an average number of veins in a galaxy of 87.5.
[[Category:Item]]
[[Category:Item]]
[[Category:Natural Source]]
[[Category:Natural Source]]

Latest revision as of 01:32, 26 July 2021

Unipolar Magnet Vein
Natural Source
Source were the rare ore unipolar magnets can be gathered. Only found on planets around neutron stars and black holes.
Icon Unipolar Magnet Vein.png

Icon Unipolar Magnet.png
1
2 s
Icon Unipolar Magnet Vein.png
1

Summary

Unipolar magnet vein is a source of Unipolar Magnets, one of the rarest ores found throughout the galaxy. These veins are only found on planets around Neutron Stars and Black Holes. Full use of the mined ore requires setting up an Interstellar Logistics Station network.

Production Chain

None, naturally occurring.

Used In

Recipe Building Replicator? Technology
Icon Unipolar Magnet.png
1
2 s
Icon Unipolar Magnet Vein.png
1
Icon Mining Machine.png
Tech Electromagnetism.png

Player Tips & Tricks

Magnets appear in patches of 14-17 veins. For any patch there's a 40% chance of getting 15 veins, and a 20% chance of getting 14, 16, or 17 veins. The average number of veins in a patch is 15.4.

The number of patches on a planet is a random integer ranging from 1 to 12. There will always be exactly 2 stars which have unipolar magnets. Each will each exactly one planet, so the total number of patches ranges from 2 to 24.


The probability of each number of patches on one planet is shown in the following table. The expected number of patches on a planet is 2.841.

1 2 3 4 5 6 7 8 9 10 11 12
35.00% 22.75% 14.79% 9.61% 6.25% 4.06% 2.64% 1.72% 1.12% 0.72% 0.47% 0.88%

With only 2 planets containing unipolar magnets, the probabilities for total vein patch counts across a galaxy are show in the following table. The expected number of patches in a galaxy is 5.682.

Vein Patch Count 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
Probability 12.25% 15.92% 15.53% 13.46% 10.93% 8.53% 6.47% 4.80% 3.51% 2.52% 1.81% 1.68% 1.03% 0.62% 0.37% 0.22% 0.13% 0.08% 0.05% 0.03% 0.01% 0.01% 0.01%
Cumulative Probability 100% 87.75% 71.83% 56.30% 42.84% 31.91% 23.38% 16.91% 12.11% 8.60% 6.06% 4.24% 2.56% 1.53% 0.91% 0.54% 0.31% 0.18% 0.10% 0.06% 0.03% 0.02% 0.01%

Given that the average number of patches in a galaxy is 5.682 and the average number of veins in a patch is 15.4, we have an average number of veins in a galaxy of 87.5.

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