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Expeditions/Fleet Mechanics: Difference between revisions

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= Expedition Fleet Composition & Support Mechanics =
= Expedition Fleet Composition & Support Mechanics =
This page describes how fleet composition affects Expedition outcomes, including:
This page explains how fleet composition affects Expedition results in a player-friendly way.


* Return-type specialist ships (Relic, Monument, Nano, Tech Boost)
All bonuses use diminishing returns and have maximum caps.
* Probe (Find Chance bonus)
* Exploration Ship (Quantity & Quality bonus)
* Combat ship discovery logic
* Fleet size and cargo impact


All bonuses use diminishing returns and are capped.
== 1. Return Type Specialist Ships (Max +10%) ==
Certain support ships increase the chance of specific reward types.


== 1. Return Type Specialists (Max +10%) ==
Only '''one specialist ship type applies per reward roll'''.Β  If multiple specialist ships are present, only the one matching the rolled reward type is used.
Each expedition reward type can be influenced by a specific support ship.
Β 
Only '''one ship type applies per outcome roll'''.Β  If multiple specialist ships are present, only the one matching the rolled reward type is used.
{| class="wikitable"
{| class="wikitable"
!Reward Type
!Reward Type
Line 22: Line 16:
|Relics
|Relics
|Orbital Refinery
|Orbital Refinery
|Increases relic return rate
|Increases relic discovery rate (up to +10%)
|-
|-
|Monuments
|Monuments
|Advanced Recycler
|Advanced Recycler
|Increases monument return rate
|Increases monument discovery rate (up to +10%)
|-
|-
|Nano
|Nano
|Planetary Harvester
|Planetary Harvester
|Increases nano return rate
|Increases nano discovery rate (up to +10%)
|-
|-
|Tech Boosts
|Tech Boosts
|Frigate
|Frigate
|Increases tech boost return rate
|Increases tech boost discovery rate (up to +10%)
|}
|}
'''How it scales:'''


=== Bonus Formula (1–1000 ships, capped at +10%) ===
* Sending more of the matching ship increases the bonus.
Let:
* The bonus grows quickly at first.
n = number of matching specialist ships sentΒ 
* After large numbers, gains become smaller (diminishing returns).
cap = 0.10 (10%)Β 
* The maximum possible bonus is +10%, even with 1000 ships.
k = ramp constant (controls scaling speed)
Β 
bonus(n) = cap Γ— ( n / (n + k) )
Β 
finalRate = baseRate Γ— (1 + bonus(n))
Recommended k values:
Β 
* Orbital Refinery (Relics): k = 220
* Advanced Recycler (Monuments): k = 170
* Planetary Harvester (Nano): k = 120
* Frigate (Tech Boosts): k = 150


This provides smooth scaling, diminishing returns, and a hard +10% cap.
This encourages balanced fleets instead of extreme stacking.


== 2. Probe – Find Chance Bonus (Max +10%) ==
== 2. Probe – Find Chance Bonus (Max +10%) ==
Probes increase the overall chance of discovering '''anything''' during an expedition (events, resources, ships).
Probes increase the overall chance of finding anything during an expedition (events, resources, ships).


Only Probe count is considered for this effect.
* More Probes = higher chance.
* Gains slow down at high numbers.
* Maximum bonus: +10%.


=== Formula ===
Probes affect whether you find something at all, not what type.
Let:
n = number of Probes sentΒ 
cap = 0.10Β 
k = 150


bonus(n) = cap Γ— ( n / (n + k) )
== 3. Exploration Ship – Quantity & Quality Bonus (Max +100%) ==
Exploration Ships improve:


finalFindChance = baseFindChance Γ— (1 + bonus(n))
* The amount of resources or ships found.
The bonus approaches but never exceeds +10%.
* The quality tier of rewards.


== 3. Exploration Ship – Quantity & Quality Bonus (Max +100%) ==
This bonus increases logarithmically:
Exploration Ships increase:


* Quantity of findings (resources and ships)
* Early ships give strong improvements.
* Quality tier probability of rewards
* Each additional ship adds less than the previous one.
* Maximum bonus: +100%.


This effect scales logarithmically and caps at +100%.
Example progression:


=== Formula (Implementation) ===
* 1 ship β†’ noticeable improvement
<syntaxhighlight lang="typescript">
* 10 ships β†’ strong improvement
private calculateExplorerBonus(explorerCount: number): number {
* 100 ships β†’ very high improvement
Β  Β  if (explorerCount === 0) return 0;
* 1000 ships β†’ reaches cap


Β  Β  const rawBonus = Math.log2(explorerCount + 1) * 10;
Exploration Ships affect both quantity and reward quality.
Β  Β  return Math.min(100, rawBonus) / 100;
}
</syntaxhighlight>
Β 
=== Mathematical Representation ===
bonus(n) = min(100, log2(n + 1) Γ— 10) / 100
Applied as:
finalQuantity = baseQuantity Γ— (1 + bonus)Β 
qualityWeight = baseQualityWeight Γ— (1 + bonus)
This bonus affects both resource amounts and reward tier distribution.


== 4. Combat Ship Discovery Logic ==
== 4. Combat Ship Discovery Logic ==
Combat ship types influence which ships can be discovered during expeditions.
Combat ships influence which ships can be discovered.


The discovery pool depends on the highest-tier combat ship sent.
* Sending lower-tier combat ships limits discoveries to similar tiers.
* Sending higher-tier ships unlocks higher-tier discoveries.


Examples:
Examples:


* Sending Kamikaze allows discovery of Kamikaze or Fighter-class ships.
* Sending Kamikaze allows discovery of Kamikaze or Fighter-class ships.
* Sending Battleship enables discovery of higher-tier ships such as Destroyers or Frigates.
* Sending Battleship enables finding Destroyers or Frigates.
Β 
Higher-tier ships unlock access to stronger discovery pools.


== 5. Overall Fleet Size Impact ==
== 5. Overall Fleet Size Impact ==
Total fleet size increases:
Larger fleets:


* Total resource volume discovered
* Discover more total resources.
* Total ships recovered
* Recover more ships.


Larger fleets yield larger results, subject to expedition limits.
Fleet size improves volume, but does not bypass caps.


== 6. Cargo Requirement ==
== 6. Cargo Requirement ==
Cargo ships are required to retrieve discovered resources and ships.
Cargo ships are required to bring back discovered rewards.


If insufficient cargo capacity is sent:
If you do not send enough cargo capacity:


* Excess resources are lost
* Excess resources are lost.
* Excess recovered ships cannot be returned
* Excess recovered ships cannot return.


Sending additional cargo ships increases maximum retrievable loot.
Always ensure sufficient cargo space.


== 7. Stacking Rules Summary ==
== 7. Stacking Rules Summary ==
β€’ Probe bonus increases overall find chance (max +10%).Β  β€’ Specialist ship bonus increases specific reward type chance (max +10%).Β  β€’ Exploration Ships increase quantity and quality (max +100%).Β  β€’ Only one specialist ship applies per reward roll.Β  β€’ All categories stack together.Β  β€’ Cargo limits what you can bring back.


* Probe bonus applies to overall find chance (max +10%).
== Strategy Tip ==
* Specialist return-type bonus applies only to its matching reward roll (max +10%).
A balanced expedition fleet often includes:
* Exploration Ship bonus affects quantity and quality (max +100%).
* Only one specialist ship type applies per reward roll.
* Effects from Probe, Specialist ship, and Exploration Ship stack multiplicatively.
* Combat ships determine ship discovery pool.
* Cargo capacity limits how much can be brought back.
Β 
== 8. Example Fleet Scenario ==
Fleet sent:
Β 
* 200 Orbital Refineries
* 150 Probes
* 50 Exploration Ships
* 300 Frigates
* 400 Cargo Ships
Β 
If expedition rolls '''Relics''':


* Orbital Refinery bonus applied to relic rate
* Probes (to increase chance of discovery)
* Probe bonus applied to find chance
* Exploration Ships (to improve reward quality & amount)
* Explorer bonus applied to quantity & quality
* One focused specialist ship (based on desired reward)
* Frigate bonus ignored (not a Tech roll)
* Combat ships (to unlock discovery tiers)
* Cargo capacity determines final loot returned
* Sufficient cargo ships


This system rewards strategic fleet composition while preventing runaway scaling.
Building fleets with a clear objective will consistently outperform random compositions.

Revision as of 09:25, 3 March 2026

Expedition Fleet Composition & Support Mechanics

This page explains how fleet composition affects Expedition results in a player-friendly way.

All bonuses use diminishing returns and have maximum caps.

1. Return Type Specialist Ships (Max +10%)

Certain support ships increase the chance of specific reward types.

Only one specialist ship type applies per reward roll. If multiple specialist ships are present, only the one matching the rolled reward type is used.

Reward Type Specialist Ship Effect
Relics Orbital Refinery Increases relic discovery rate (up to +10%)
Monuments Advanced Recycler Increases monument discovery rate (up to +10%)
Nano Planetary Harvester Increases nano discovery rate (up to +10%)
Tech Boosts Frigate Increases tech boost discovery rate (up to +10%)

How it scales:

  • Sending more of the matching ship increases the bonus.
  • The bonus grows quickly at first.
  • After large numbers, gains become smaller (diminishing returns).
  • The maximum possible bonus is +10%, even with 1000 ships.

This encourages balanced fleets instead of extreme stacking.

2. Probe – Find Chance Bonus (Max +10%)

Probes increase the overall chance of finding anything during an expedition (events, resources, ships).

  • More Probes = higher chance.
  • Gains slow down at high numbers.
  • Maximum bonus: +10%.

Probes affect whether you find something at all, not what type.

3. Exploration Ship – Quantity & Quality Bonus (Max +100%)

Exploration Ships improve:

  • The amount of resources or ships found.
  • The quality tier of rewards.

This bonus increases logarithmically:

  • Early ships give strong improvements.
  • Each additional ship adds less than the previous one.
  • Maximum bonus: +100%.

Example progression:

  • 1 ship β†’ noticeable improvement
  • 10 ships β†’ strong improvement
  • 100 ships β†’ very high improvement
  • 1000 ships β†’ reaches cap

Exploration Ships affect both quantity and reward quality.

4. Combat Ship Discovery Logic

Combat ships influence which ships can be discovered.

  • Sending lower-tier combat ships limits discoveries to similar tiers.
  • Sending higher-tier ships unlocks higher-tier discoveries.

Examples:

  • Sending Kamikaze allows discovery of Kamikaze or Fighter-class ships.
  • Sending Battleship enables finding Destroyers or Frigates.

5. Overall Fleet Size Impact

Larger fleets:

  • Discover more total resources.
  • Recover more ships.

Fleet size improves volume, but does not bypass caps.

6. Cargo Requirement

Cargo ships are required to bring back discovered rewards.

If you do not send enough cargo capacity:

  • Excess resources are lost.
  • Excess recovered ships cannot return.

Always ensure sufficient cargo space.

7. Stacking Rules Summary

β€’ Probe bonus increases overall find chance (max +10%). β€’ Specialist ship bonus increases specific reward type chance (max +10%). β€’ Exploration Ships increase quantity and quality (max +100%). β€’ Only one specialist ship applies per reward roll. β€’ All categories stack together. β€’ Cargo limits what you can bring back.

Strategy Tip

A balanced expedition fleet often includes:

  • Probes (to increase chance of discovery)
  • Exploration Ships (to improve reward quality & amount)
  • One focused specialist ship (based on desired reward)
  • Combat ships (to unlock discovery tiers)
  • Sufficient cargo ships

Building fleets with a clear objective will consistently outperform random compositions.