Veins Utilization (Upgrade) and File:Achievement Magpie.png: Difference between pages

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==Summary==
Veins Utilization is an repeatable upgrade that applies a -6% ore consumption / miner product (power of 0.94 per level) and +10% mining speed (multiple of +10% per level).  The ore consumption decreases exponentially, while the mining speed and cost in universe matrix and hashes increases linearly. The speed increasement also affects on [[Oil Extractor]], [[Water Pump]] and [[Orbital Collector]].


==Levels==
{| class="wikitable" style="background-color:#0b161c
|-
! Level !! Icon !! Name !! ID !! colspan="5" | Research Cost !! Unlocks !! Net Gain ({{Abbr|Including baseline values|Total}})
|-
|1||{{TechIcon|Veins Utilization|1}}||[[Veins Utilization_(Upgrade)|Veins Utilization 1]]||3601||{{RecipeItem|ItemName=Electromagnetic Matrix|ItemCount=400}}||{{RecipeItem|ItemName=Energy Matrix|ItemCount=400}}|| || || ||-6% ore consume / miner product.
+10% mining speed.
|<nowiki>-6% ore consume / miner product (94%). </nowiki>
+10% mining speed (110%).
|-
|2||{{TechIcon|Veins Utilization|2}}||[[Veins Utilization_(Upgrade)|Veins Utilization 2]]||3602||{{RecipeItem|ItemName=Electromagnetic Matrix|ItemCount=1000}}||{{RecipeItem|ItemName=Energy Matrix|ItemCount=1000}}||{{RecipeItem|ItemName=Structure Matrix|ItemCount=1000}}|| || ||-6% ore consume / miner product.
+10% mining speed.
|<nowiki>-11.6% ore consume / miner product (≈88.4%). </nowiki>
+20% mining speed (120%).
|-
|3||{{TechIcon|Veins Utilization|3}}||[[Veins Utilization_(Upgrade)|Veins Utilization 3]]||3603||{{RecipeItem|ItemName=Electromagnetic Matrix|ItemCount=1000}}||{{RecipeItem|ItemName=Energy Matrix|ItemCount=1000}}||{{RecipeItem|ItemName=Structure Matrix|ItemCount=1000}}||{{RecipeItem|ItemName=Information Matrix|ItemCount=1000}}|| ||-6% ore consume / miner product.
+10% mining speed.
|<nowiki>-16.9% ore consume / miner product (≈83.1%). </nowiki>
+30% mining speed (130%).
|-
|4||{{TechIcon|Veins Utilization|4}}||[[Veins Utilization_(Upgrade)|Veins Utilization 4]]||3604||{{RecipeItem|ItemName=Electromagnetic Matrix|ItemCount=1600}}||{{RecipeItem|ItemName=Energy Matrix|ItemCount=1600}}||{{RecipeItem|ItemName=Structure Matrix|ItemCount=1600}}||{{RecipeItem|ItemName=Information Matrix|ItemCount=1600}}|| ||-6% ore consume / miner product.
+10% mining speed.
|<nowiki>-21.9% ore consume / miner product (≈78.1%). </nowiki>
+40% mining speed (140%).
|-
|5||{{TechIcon|Veins Utilization|5}}||[[Veins Utilization_(Upgrade)|Veins Utilization 5]]||3605||{{RecipeItem|ItemName=Electromagnetic Matrix|ItemCount=2000}}||{{RecipeItem|ItemName=Energy Matrix|ItemCount=2000}}||{{RecipeItem|ItemName=Structure Matrix|ItemCount=2000}}||{{RecipeItem|ItemName=Information Matrix|ItemCount=2000}}||{{RecipeItem|ItemName=Gravity Matrix|ItemCount=2000}}||-6% ore consume / miner product.
+10% mining speed.
|<nowiki>-26.6% ore consume / miner product (≈73.4%). </nowiki>
+50% mining speed (150%).
|-
|6→∞||{{TechIcon|Veins Utilization|6}}||[[Veins Utilization_(Upgrade)|Veins Utilization ∞]]||3606||colspan="5"|{{RecipeItem|ItemName=Universe Matrix|ItemCount=4000}} × <code>(LVL-5)</code>||-6% ore consume / miner product.
+10% mining speed.
|Total consumption: ≈<code>(73.4*0.94^(LVL-5))</code>%
Total speed: <code>150+10*(LVL-5)</code>%
|}
Technically, the maximum level is 10,000, with 199,820,040,000 [[Universe Matrix|Universe Matrices]] (AKA, white cubes).  But you'll run out of time in your life before you get anywhere close to that level, since the cost for each subsequent level increases linearly by +4,000 universe matrix and +3,600,000 hashes.  In practice, most players will never research above level 20-30. The lowest ore consumption you can get is 1.121039E-44 at level 1633, which will consume 5,304,024,000 white cubes.
==Prerequisite Technologies==
* [[Electromagnetism (Tech)|Electromagnetism]]
== Research consumption ==
* Hashes cost formula for Level >= 6
** 3,600,000 * (Level - 5) Hashes
* Cost formula for Level >= 6
** 4,000 * (Level - 5) Universe Matrix
{| class="wikitable mw-collapsible"
|+Table of Research Consumption
|Level
|Blue
|Red
|Yellow
|Purple
|Green
|White
|Hashes
|1 vein mining speed (x / min)
|Vein reserves used in 1 min
|-
|0
|
|
|
|
|
|
|
|30.0
|30.0
|-
|1
|           400
|           400
|
|
|
|
|                     36,000
|33.0
|31.0
|-
|2
|        1,000
|        1,000
|        1,000
|
|
|
|                   180,000
|36.0
|31.8
|-
|3
|        1,000
|        1,000
|        1,000
|        1,000
|
|
|                   180,000
|39.0
|32.4
|-
|4
|        1,600
|        1,600
|        1,600
|        1,600
|
|
|                   480,000
|42.0
|32.8
|-
|5
|        2,000
|        2,000
|        2,000
|        2,000
|        2,000
|
|               1,800,000
|45.0
|33.0
|-
|6
|
|
|
|
|
|                       4,000
|               3,600,000
|48.0
|33.1
|-
|n
|
|
|
|
|
|4000*(n-5)
|3,600,000*(n-5)
|30*(1+(0.1*n))
|(Mining speed)*(0.94^(n))
|-
|7
|
|
|
|
|
|                       8,000
|               7,200,000
|51.0
|33.1
|-
|8
|
|
|
|
|
|                     12,000
|            10,800,000
|54.0
|32.9
|-
|9
|
|
|
|
|
|                     16,000
|            14,400,000
|57.0
|32.7
|-
|10
|
|
|
|
|
|                     20,000
|            18,000,000
|60.0
|32.3
|-
|20
|
|
|
|
|
|                     60,000
|            54,000,000
|90.0
|26.1
|-
|100
|
|
|
|
|
|                   380,000
|          342,000,000
|330.0
|0.7
|-
|200
|
|
|
|
|
|                   780,000
|          702,000,000
|630.0
|0.003
|-
|500
|
|
|
|
|
|               1,980,000
|      1,782,000,000
|1530.0
|0.0000000001
|-
|590
|
|
|
|
|
|               2,340,000
|      2,106,000,000
|1800.0
|2.52E-13
|-
|1000
|
|
|
|
|
|               3,980,000
|      3,582,000,000
|1800.0
|2.42E-24
|-
|10000
|
|
|
|
|
|            39,980,000
|    35,982,000,000
|1800.0
|3.42E-266
|}
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[[Category:Upgrade]]

Revision as of 23:33, 1 October 2021

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