Research: Difference between revisions
m (punctuation;; admin: thanks for adding picture & History style) |
(added section on infinite research incl math, since AFAIK the wiki has no other 'central' place to learn about the mechanic in general) |
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Note that inserters can take science packs from labs and hand them to other labs, making a lab chain a feasible solution. Other options include using 3 belts (before space science packs are needed), or a [[Glossary#S|sushi belt]]. | Note that inserters can take science packs from labs and hand them to other labs, making a lab chain a feasible solution. Other options include using 3 belts (before space science packs are needed), or a [[Glossary#S|sushi belt]]. | ||
== 'Infinite' research == | |||
While most research topics in Factorio are either one-off or have a finite, relatively small number of levels available, several (14 in total) are "infinite", meaning the player can research as many levels as they can afford. All of them unlock bonuses to existing technologies, never new structures or abilities. With the exception of [[mining productivity (research)|mining productivity]] and [[worker robot speed (research)|worker robot speed]], all infinite research topics are combat-related. The per-level bonuses are constant for a particular infinite research topic and, like normal research bonuses, are additive (rather than multiplicative) within a single topic. | |||
Infinite research topics are identified in-game by a small <code>∞</code> infinity symbol being shown in the top right corner of the research topic's card in the research screen. Note that this category of research topics has no official name or other distinction apart from the above; "infinite research" is a placeholder name bestowed by the community. | |||
Most infinite research topics are continuations of ordinary multi-level topics; the "infinite" mechanic becomes effective once the player reaches the card initially labeled with <code>N - ∞</code> in the research tree. Only the two [[artillery]]-related topics (artillery shell [[artillery shell range (research)|range]] and [[artillery shell shooting speed (research)|shooting speed]]) are infinite-only; for these, <code>N - ∞</code> is shown before any levels in them are researched. | |||
In either case, once the first infinite level is researched, the card label switches to the one discussed above. Unlike normal leveled research, infinite research topics do not switch to a new card for every level, instead only incrementing the level number on the same card. This is likely so as to prevent the "tree" visualization of available research from becoming overly long. | |||
=== Prices === | |||
The price of all infinite research topics is generated in a [https://en.wikipedia.org/wiki/Progression mathematical progression]; for the majority of topics, the progression is [https://en.wikipedia.org/wiki/Geometric_progression geometric], mostly in powers of 2; a single topic - [[artillery shell shooting speed (research)|artillery shell shooting speed]] - uses a powers-of-3 progression. Two topics - [[mining productivity (research)|mining productivity]] and [[follower robot count (research)|follower robot count]] - use an [https://en.wikipedia.org/wiki/Arithmetic_progression arithmetic progression] instead, in both cases with a difference of 100. | |||
The equations that generate infinite research prices take the following forms: | |||
*<code>P[N] = P[0] * 2 ^ (N - N[0]) + C</code> - most infinite topics | |||
*<code>P[N] = P[0] * 3 ^ (N - N[0]) + C</code> - '''artillery shell shooting speed''' | |||
<!-- ** specifically, the coefficients are P = 1,000; N[0] = 0; C = -1,000 --> | |||
*<code>P[N] = P[0] * (N - N[0]) + C</code> - '''mining productivity''' and '''follower robot count''' | |||
where: | |||
*'''''P[N]''''' is the price of the '''''N'''''th level of the research topic (as reported by the game; i.e., counting also all starting "non-infinite" levels, if any) | |||
*'''''P[0]''''' is a price multiplier | |||
*'''''N''''' is the level of the research topic, as reported by the game (i.e., including any starting non-infinite levels) | |||
*'''''N[0]''''' is a shift factor relative to the source series | |||
*'''''C''''' is a constant | |||
Among others, the following properties can be observed: | |||
*''P[0]'' = 1,000 for topics with a geometric progression and ''P[0]'' = 100 for topics with an arithmetic progression | |||
*for both infinite-only topics, ''P[1]'' = 2 * ''P[0]'' | |||
*denote <code>F</code> the final level of non-infinite research available in the topic if such exists; for infinite-only research, set <code>F = 0</code>; then: | |||
*the majority of geometric-progression topics have ''P[F+1]'' = ''P[0]''; the rest have ''P[F+1]'' = 2 * ''P[0]'' (where ''P[F+1]'' is the price of the first "infinite" level) | |||
*for topics with preceding non-infinite levels, the relation between ''P[F+1]'' and non-infinite level prices may vary, but in all cases ''P[F+1]'' >= ''P[F]'' (where ''P[F]'' is the price of the last non-infinite level) | |||
*either <code>N[0] = F</code> or <code>N[0] = F + 1</code>; this is mostly idiosyncratic to the research topic in question | |||
*''C'' != 0 only for '''follower robot count''' (''C'' = 900) and '''artillery shooting speed''' (''C'' = 1,000) | |||
== Achievements == | == Achievements == | ||
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* Research system overhauled | * Research system overhauled | ||
** There are now 7 science pack types instead of 4, research prices have been changed to compensate. | ** There are now 7 science pack types instead of 4, research prices have been changed to compensate. | ||
** Top-tier science pack is no longer obtained by destroying alien nests, but by launching rockets with satellites.}} | ** Top-tier science pack is no longer obtained by destroying alien nests, but by launching rockets with satellites. | ||
**"Infinite research" mechanic introduced}} | |||
== See also == | == See also == | ||
Revision as of 22:18, 2 September 2018
Research is used to unlock technologies, offering new recipes and bonuses. Research is performed by labs consuming different types of science packs.
Mechanics
In single player games, only one technology can be researched at a time, while in multiplayer, research progress is shared within forces.
The technology to be researched is selected from the technology screen, opened by pressing T. The current active research can be changed at any time from the technology screen; if another research is in progress, that progress will be saved. Multiple research topics can be partially researched like this at any one time.
Research progress for a technology is divided into units. Each unit has a time and a science pack cost. When research is in progress, labs with the required amount of science packs for one unit will consume the amount and contribute towards research progress.
The time T it will take to research a particular technology is given by:
T = (T[0] × P) ÷ (L × S)seconds,
where:
- T[0] is the time cost per unit (as shown in Research screen)
- P is the price of the research, in units (as shown in Research screen)
- L is the number of labs used
- S is lab speed, which is given by:
1 + B[r]- where B[r] is the total research speed modifier from lab research speed research and any module effects
Note that P represents the research price in units, not in individual science packs summed across all their types. For example, a research that costs 100 science packs 1 and 100 science packs 2, grouped into 100 units of 1 each of science packs 1 and 2, would have a P of 100, not 200.
Automation
Crafting science packs by hand is not feasible, mainly because of the amount of resources and time needed to craft them. Some science packs also require ingredients that cannot be handcrafted, such as oil products. Science pack production automation is the primary incentive for factory development throughout the game.
The insertion of science packs into labs may be automated using inserters and transport belts, as shown to the right, or using robots and the logistic network.
Note that inserters can take science packs from labs and hand them to other labs, making a lab chain a feasible solution. Other options include using 3 belts (before space science packs are needed), or a sushi belt.
'Infinite' research
While most research topics in Factorio are either one-off or have a finite, relatively small number of levels available, several (14 in total) are "infinite", meaning the player can research as many levels as they can afford. All of them unlock bonuses to existing technologies, never new structures or abilities. With the exception of mining productivity and worker robot speed, all infinite research topics are combat-related. The per-level bonuses are constant for a particular infinite research topic and, like normal research bonuses, are additive (rather than multiplicative) within a single topic.
Infinite research topics are identified in-game by a small ∞ infinity symbol being shown in the top right corner of the research topic's card in the research screen. Note that this category of research topics has no official name or other distinction apart from the above; "infinite research" is a placeholder name bestowed by the community.
Most infinite research topics are continuations of ordinary multi-level topics; the "infinite" mechanic becomes effective once the player reaches the card initially labeled with N - ∞ in the research tree. Only the two artillery-related topics (artillery shell range and shooting speed) are infinite-only; for these, N - ∞ is shown before any levels in them are researched.
In either case, once the first infinite level is researched, the card label switches to the one discussed above. Unlike normal leveled research, infinite research topics do not switch to a new card for every level, instead only incrementing the level number on the same card. This is likely so as to prevent the "tree" visualization of available research from becoming overly long.
Prices
The price of all infinite research topics is generated in a mathematical progression; for the majority of topics, the progression is geometric, mostly in powers of 2; a single topic - artillery shell shooting speed - uses a powers-of-3 progression. Two topics - mining productivity and follower robot count - use an arithmetic progression instead, in both cases with a difference of 100.
The equations that generate infinite research prices take the following forms:
P[N] = P[0] * 2 ^ (N - N[0]) + C- most infinite topicsP[N] = P[0] * 3 ^ (N - N[0]) + C- artillery shell shooting speedP[N] = P[0] * (N - N[0]) + C- mining productivity and follower robot count
where:
- P[N] is the price of the Nth level of the research topic (as reported by the game; i.e., counting also all starting "non-infinite" levels, if any)
- P[0] is a price multiplier
- N is the level of the research topic, as reported by the game (i.e., including any starting non-infinite levels)
- N[0] is a shift factor relative to the source series
- C is a constant
Among others, the following properties can be observed:
- P[0] = 1,000 for topics with a geometric progression and P[0] = 100 for topics with an arithmetic progression
- for both infinite-only topics, P[1] = 2 * P[0]
- denote
Fthe final level of non-infinite research available in the topic if such exists; for infinite-only research, setF = 0; then: - the majority of geometric-progression topics have P[F+1] = P[0]; the rest have P[F+1] = 2 * P[0] (where P[F+1] is the price of the first "infinite" level)
- for topics with preceding non-infinite levels, the relation between P[F+1] and non-infinite level prices may vary, but in all cases P[F+1] >= P[F] (where P[F] is the price of the last non-infinite level)
- either
N[0] = ForN[0] = F + 1; this is mostly idiosyncratic to the research topic in question - C != 0 only for follower robot count (C = 900) and artillery shooting speed (C = 1,000)
Achievements
|
Tech maniac Research all technologies. |
History
- 0.15.0:
- Research system overhauled
- There are now 7 science pack types instead of 4, research prices have been changed to compensate.
- Top-tier science pack is no longer obtained by destroying alien nests, but by launching rockets with satellites.
- "Infinite research" mechanic introduced
- Research system overhauled
