This **Induction to Inductive Games** is an attempt to gather all games falling in the **inductive** category, sometimes also named //Instructionless//, //Rule-discovery// or //Black box// games. 

Having grown from research notes for [an upcoming inductive typing game|https://www.puzzletype.com#inductive], this living document may now be useful to players looking for inductive game gems, perhaps curious about the origins of the genre, as well as to inductive game designers, for whom the final [#Design Considerations for inductive games] was written.


Hallmarks of inductive games include:
- one or more underlying rules to be discovered;
- progress equates with a deeper understanding of the rules;
- no instructions given, intentionally,

Those can be condensed in the following definition:

> Inductive games are primarily about discovering a set of underlying rules, using inductive reasoning: prior examples or past interactions with the game world are used to construct hypotheses (possibly subconsciously), to be confronted  with new examples and interactions, until they can no longer be disproven.
((by Pedro))


This definition excludes:
- **Guessing** or **Concealed Information** games, where a limited number of questions can be asked before trying to guess not an underlying rule, but a piece of information such as a code (Mastermind), pattern ([Breaklock|https://maxwellito.github.io/breaklock/]), word (Hangman, [Wordle|https://www.nytimes.com/games/wordle/index.html]), concept (20 questions), movement sequence ([the Inductive Game of Rubik's Cube|https://dash.harvard.edu/bitstream/handle/1/4747486/suber_cube.htm]), personality ([Akinator|https://en.akinator.com/]), etc...
- **Puzzlehunts**, chiefly because they are an heterogeneous category, as individual puzzles may possess (or not) an inductive nature.
- games whose //primary// theme is not inductive even when occasional inductive elements are present (e.g [Tunic|https://store.steampowered.com/app/553420/TUNIC/], [Fez|https://en.wikipedia.org/wiki/Fez_(video_game)])





With this in mind, a tentative classification of Inductive Games could start by dividing them in three major groups: [#Atomic], [#Closed] and [#Open].


Atomic
#=#=#=#=

Atomic Inductive Games comprise a single unexplained situation, usually presented as a single level-
Occasionally this situation may be spread across multiple levels (perhaps to clarify the idea or present more challenges) yet without adding new rules.

TITLE																														AUTHOR>>>P		YEAR	Interaction													QUESTION
[Angry man's contest|https://forum.caravelgames.com/viewtopic.php?TopicID=9820]												EricH2000		2006	Observation of picture clues								What is the man angry about?
[Tempres|https://tak.itch.io/tempres] (with [a demake|https://tobiasvl.itch.io/tempres-pico-8])								tak				2017	Click/tap (anywhere)										How to light up the next bar?
[Color Theory|https://jacklance.github.io/ColorTheory/]																		JackLance		2020	Placing lines and dots										How many dots should be placed, and how connected?
[Proof of Equivalence|https://jacklance.itch.io/proof-of-equivalence-via-explicit-construction-of-an-ambient-isotopy]		Jack Lance		2022	Place and displace vertices									How to move in 3D? 
// [TachyonTrains2d_another|https://knexator.github.io/old_page/tachyonTrains2D_another/]										knexator		2022	TBA															?
[Secure|https://toombler.itch.io/secure]																					Toombler		2022	Pushing blocks to "secure" positions						What kind of positions are secure?
((a non-exhaustive list of atomic inductive games))



Closed
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Closed inductive games tend to be self-contained, with the number of rules limited at the outset.
Often, each of these rules is explored more deeply than those in [#Open Inductive Games], with particular emphasis on //edge-cases// and on their //mutual interactions//.

A common eureka moment occurs when rules previously tested in limited scenarios suddenly generalise to encompass a new situation. 

As soon as all rules in a [#Closed] game are fully understood (and subsequent game goals attained) the game is complete. As the rules never change, replaying the game, or playing it after watching someone else offers diminishing value.

At least two subtypes of [#Closed] inductive games may be distinguished: [#Symbolic] and [#Environmental]


Symbolic
=========

In symbolic inductive games, particular rules are tied to particular symbols (or combinations thereof).

TITLE																						AUTHOR>>>P							YEAR	INTERACTION													QUESTION																	COMMENTARY
[Signal|https://arrogantgamer.itch.io/signal]												ArrogantGamer						2013	Moving and pushing blocks with different labels				How are movement patterns of different labels linked?						Intentional use of visual noise to disguise mechanisms "hidden in plain sight" 
[The Witless|https://puzzling.stackexchange.com/questions/47870/witless-a-puzzling-journey]	TheGreatEscaper						2017	Drawing lines on the board									What does each symbol mean, in relation to the lines and the board?			The progression though panel sets, which have consistent rules, //kindly// provides a way to assess one's partial understanding towards the whole solution (rare in paper-based games) 
[Illiteracy|https://le-slo.itch.io/illiteracy]												Le Slo								2018	Clicking symbols to swap other symbols 						What is the effect of each symbol? 											-
[MISLED, Puzzled|https://dazed-pidgeon.itch.io/misledpuzzled]								Croubble							2019	Placing symbols on a grid									-																			-
[Gestalt OS|https://www.increpare.com/game/gestalt_os.html]									Stephen Lavelle, Lucas Le SLo		2019	Placing symbols and watching their effects					-																			-
[Cypher|https://bencolewu.itch.io/cipher]													Ben Cole Wu							2019	Activating tiles											What do the annotations imply? 												A manual rule check lets players ask whether the current solution is correct, avoiding "chance wins"
[Char Min Glee|https://jacklance.itch.io/char-min-glee]										JackLance							2020	Clicking Buttons											-																			Impressive codegolfing
[Understand|https://store.steampowered.com/app/1299400/Understand/]							Artless								2020	Line drawing through a grid with symbols					-																			-
[Artefact|https://azertinv.itch.io/artefact]												Azertinv							2020	Inputing symbols into text fields							-																			-
[Cypherset|https://www.starmapsllc.com/#cipherset-section]  [1|YT=2nMeLziEsfI]				Starmaps LLC						2020	Moving around a grid while activating tiles 				-																			-
[From Muddled to Clean (FMTC)|https://jacoblance.files.wordpress.com/2020/05/fmtc.pdf]		Jack Lance							2020	Drawing loops												What rules govern each loop, so the puzzles are uniquely solvable?			Pen and paper based
[Fremda|https://coreyhardt.itch.io/fremda]													Corey Hardt							2021	Drag symbols to certain positions and a chain of tones		Which symbol configurations produce the required chain?						The musical and visual feedback indicate partial solutions, thereby guiding the player.
[Insight|https://store.steampowered.com/app/1602980/Insight/]								Maou								2021	Region division												Which constraints on the possible divisions are imposed by the symbols?		-
[Autoscript|https://zacharybarbanell.itch.io/autoscript]									ZacharyBarbanell and Knexator		2021	Placing symbols												-																			-
[Stoff OS|https://tilmannr.itch.io/stoff-os]												Tilmann								2021	Placing symbols and watching their effects					-																			-
[Null Hypothesis|https://portponky.itch.io/null-hypothesis]									Portponky							2021	Combining gems												Which combination of gems will produce an effect?							Non grid-based
[Funny Looksy|https://prodzpod.github.io/witness/index.html] 								prodzpod							2021	Drawing lines to divide symbol tiles						How does each symbol behave in relation to the line and other symbols?		Witness like (core mechanic)
[Symmetry Hall Problem|https://sporktank.itch.io/the-symmetry-hall-problem]					Sporktank							2022	Activating tiles											What do the numbers and underlays imply? 									Cumbersome input, also annoying that the default "empty" colour is not recognised as a legitimate colour, requiring more clicks. 
[Discovery Jigsaw|https://portponky.itch.io/discovery-jigsaw]								Portponky							2022	Placing polyominos on a board								Which placements are valid? What are the rules for each symbol?				Levels can be played in any order, adding a new layer to discovery by letting players take full control of their inductive process.
[Catalyst|https://knexator.itch.io/catalyst]												knexator							2022	Combining gems												See null hypothesis															Inspired by Null hypothesis, but using a search algorithm to comb through possibly interesting rule sets
[LOK Puzzlebook|https://www.blazgracar.com/lok]												Blaz								2022	Crossing letter sequences on a grid							What rules govern each word, so the puzzles are uniquely solvable?			Pen and paper based
[Gridspech|https://gridspech.baublejar.com/]												krackocloud							2023	Flipping tiles on grid										-
[The Runic Conjecture|https://lio-lim.itch.io/the-runic-conjecture]							Lio Lim								2023	Converting letters to a path								What effect does each letter have on the path, and on other letters?		-
[ABDEC|https://letibus.itch.io/abdec]														Blaz								2023	Placing "letters" on a board								What shape does each "letter" represent and what are its rules?				Pen and paper based
[FMTC "Ripoff"|DIS/722960890525384804/1103801593167614074/fmtc_ripoff.pdf]					Duyaa								2023	Drawing lines												-																			-
[Agriculture|https://brumbrumgames.itch.io/agriculture]										BrumBrumGames						2023	Placing and removing symbols (animals)						-																			-
[Bilattice|https://www.starmapsllc.com/#bilattice-section]  [1|YT=bsDv4K4ywSI]				Starmaps LLC						2024	Shading tiles on a grid / dragging clues					Which rules are imposed by each symbol?										Pen and paper-inspired, with feedback e.g. in the form of exclamation marks/checks on number clues, etc...  
[Bobogram|https://uiqoo.kr/bobogram/]														uiqoo								2024	Shading tiles on a grid										-																			Pen and paper based
((A list of closed symbolic inductive games))

DIS/:=https://cdn.discordapp.com/attachments/
YT=:=https://www.youtube.com/watch?v=


Environmental
===============
Environmental inductive games do not restrict rules to particular symbols only, but tie them to physical objects in a simulated environment, akin to traditional escape room games (too many to list here).

These games add a focus on lateral thinking and attentive observation, because it may not be obvious what is a "symbol", where to look, and what can be interacted with -- though some objects may be actual drawings of symbols, e.g. in a piece of paper.


TITLE																					AUTHOR>>>P				YEAR	INTERACTION
[Starseed Pilgrim |https://en.wikipedia.org/wiki/Starseed_Pilgrim]						droqen					2013	Placing seeds
[Quern - undying thoughts|https://www.igdb.com/games/quern-undying-thoughts]			Zadbox Entertainment	2015	Activating mechanisms
[Rose|https://www.puzzlescript.net/play.html?p=ab40e550847221098dedd0d2bd876039]		Jared Piers				2016	-
[The Witness|https://en.wikipedia.org/wiki/The_Witness_(2016_video_game)]				Jonathan Blow			2016	Line drawing through a grid with symbols; activating mechanisms; observing the environment
[Sensorium|https://tadcordle.github.io/projects/sensorium.html]							Tad Cordle				2016	-
[Islands|https://rosden.itch.io/islands]												Rosden Shadow			2018	Activating hidden mechanisms in a block-pushing world
[Compass Rose|https://pacesmith.itch.io/compass-rose]									Pace Smith				2019	Answering riddles and interacting with the world
[Un-lock|https://www.puzzlescript.net/play.html?p=0bde9b6117e2c7aebb4f226b47cbdc47] 	NoaCubeStudio			2020	Opening "locks"
[Lingo|https://www.lingothegame.com/index.html]											Brenton Wildes			2021	-
[Taiji|https://mvandevander.itch.io/taiji]												Matthew VanDevander		2022	Activating tiles; activating mechanisms; observing the environment
[Logicality|https://store.steampowered.com/app/2013650/Logicality/] (witness clonish)	SVGames					2022	Pressing buttons in order
[Syllogism|https://store.steampowered.com/app/2740350/Syllogism/]						SVGames					2024	Turning arrows in a 2D map (interactign with the environment) 
//[Cypher Zero|https://store.steampowered.com/app/1332180/CIPHER_ZERO/] (see Cypher)		Zapdot					TBA		Shading tiles/regions on a grid
[Awakening|https://store.steampowered.com/app/1118830/AWAKENING/]						Sebastian Blanco		TBA		Extracting clues from videos

((A list of environmental inductive games))



Open
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Open inductive games have no beginning nor end, because rules are derived on the fly for each new game. 
When relying on symbols or pieces, those need never be tied to particular rules, but may change meaning with every replay.

Nevertheless, some well-known open games may develop a "canon" of known good rules, usually aimed at beginners, plus, sometimes, a "uncanon" of unacceptable rules, infamous for frustrating players. As long as new interesting rules keep being devised by their players-creators, Open inductive games are intrinsically replayable.

TITLE																																													AUTHOR>>>P										YEAR	INTERACTION
[Eleusis|https://en.wikipedia.org/wiki/Eleusis_(card_game)]																																Robert Abbott 									1956	Determining why a card may or not be played
[Mao|https://en.wikipedia.org/wiki/Mao_(card_game)] (also Mau)																															unknown											???		(see Eleusis)
[Bongard Problems|https://www.foundalis.com/res/bps/bpidx.htm]																															M. M. Bongard									1967 	Finding the distinctive feature in two sets of 6 images
[Queries 'n Theories|https://gamesforthinkers.org/all/scientific-reasoning/queries-n-theories-the-game-of-science-and-language/]														Layman E. Allen, Joan Ross and Peter Krugel		1970	Reconstructing a hidden language with a formal structure (basic sentences and replacement rules), by formulating questions (queries)
[Petals around the rose|https://en.wikipedia.org/wiki/Petals_Around_the_Rose]																											unknown											1970s	Observing dice rolls and results, then trying to deduce a formula
[Penultima Chess|https://en.wikipedia.org/wiki/Penultima]																																Michael Greene and Adam Chalcraf				1994	Attempting to move a chess piece
[Zendo|http://www.koryheath.com/zendo/]																																					Kory Heath										1999	Asking the master whether a piece configuration follows the hidden rule
[Eleusis Express|https://www.logicmazes.com/games/eleusis/express.html]																													John Golden 									2006	(see Eleusis)
[Luminare|https://clockworkacorn.com/games/luminare/]																																	Clockwork Acorn 								2015	Classifying new examples as black or white
[Riddle Runes|https://zithral.itch.io/riddle-runes], formerly [Sigils|https://globalgamejam.org/2016/games/sigils]																		Zithral											2016	???
[White Pillars|https://rosden.itch.io/white-pillars]																																	Rosden Shadow									2018	Pushing blocks
[Devil's Calculator|https://www.cinqmarsmedia.com/devilscalculator/]																													cinqmarsmedia									2019	Typing (numbers)
[Caterpillar logic|https://play.google.com/store/apps/details?id=org.gromozeka1980.caterpillar_logic]																					Michael Fuks									2020	Classifying new examples as valid or invalid
[Send A Damned Message|https://www.wuthejeff.com/send-a-damned-message/]																												Jeff Wu											2021	Typing
[Exactly 7|https://matrix67.itch.io/exactly-seven]																																		matrix67										2021	Increment or decrement a score counter by activating tiles, picking letters, etc...
[Instructionless Grid|https://ig.logicpuzzle.app/]																																		Wando											2021	Paper puzzle drawing
[The Name of the game|https://forum.mafiascum.net/viewtopic.php?f=10&t=86368&p=12706255#p12706255]																						Lady Lambdadelta								2021	Variable rules, multiple question checks
[h|https://www.blazgracar.com/h]																																						UrbanBlazGracar									2022	???
[-vxv-|https://auroriax.github.io/PuzzleScript/play.html?p=516031004a56187a01b73acc0e8b0636]																							Competor										2022	Drawing in a mysterious interface
[House|https://studio369.itch.io/house]																																					studio369										2022	Visual clues
VIX [1] puzzles: [I|€/2q79nma5],[II|€/2jlsn3nh],[III|€/2z3ejojl] , @JackLance's [IV|€/mr7nfnbd] ,[V|€/2gsugzl5],[VI|€/2kbxn5z9], [VII|€/2eyt479m], [VIII|€/2m5yo3yu], [IX|€/ubjdpy2r] 	JacobZ.											2022	Placing Roman Numerals
[Forgetting|https://store.steampowered.com/app/2337070/Forgetting/]																														galactical										2024	Shading (tiles on a grid with symbols)
[Puzzle Type|https://www.puzzletype.com#inductive]																																		Pedro										TBA		Typing

((A list of open inductive games))

Social games where players keep providing words or objects as examples until they find a hidden rule, such as [Umbrella|https://campfirehacker.com/the-umbrella-game/], [Green Glass Door|https://campfirehacker.com/green-glass-door/], [Black Magic|https://campfirehacker.com/black-magic-game/], [Music Box|https://www.reddit.com/r/riddles/comments/17e24y/the_music_box/], [Scissors|https://en.wikipedia.org/wiki/Scissors_(game)] and [Triangle Mind|http://www.games-wiki.org/wiki/Triangle/] could be seen together as components of a larger open game. 
However, as the supply of such hidden rules seems relatively limited, it seems more appropriate to call them a //collection of games//.


€:=https://tinyurl.com



## Design considerations for Inductive Games

Designing inductive games requires additional considerations from those that apply to standard puzzle games.
Here are a few that site.author deems important, earned from analysis and first-hand experience.



### Blind vs Kind
In a **blind** game, you are playing blindly, attempting things without any feedback, except a final "yes or no" -- only after understanding absolutely everything can you win the current situation.

In contrast, a **kind** game, you receive some feedback after every action, which reduces frustration because you can gauge your own understanding.

When making Inductive games, it is of utmost importance to make them *kind*.

|:info: In paper-based / physical media, designers should be aware of the medium's feedback limitations, and think creatively on how to overcome them. Whereas in digital media, the abundance of feedback options should easily nudge designers towards making inductive games **kind**.


### Auto vs Controlled
As players interact with an inductive game with partial understanding, every so often they produce an action with unexpected results. 
They may even wish to explore randomly to see what happens.

Thus there is an unavoidable chance that players "win" without fully understanding the system. 
Some games enforce a manual "win check" to prevent this, but this actively slows down players, creating friction. 
Much better to provide them them more control, by letting them go back and forth in their actions, "unwin" or pause anytime.


### Complicated vs Complex
The complexity of an underlying rule relates to how many test cases that need to be checked by players so they are convinced they understand the rule, as well as to the cognitive effort of each individual check.

Rules in inductive games should be **complex** enough to feel interesting but not overly **complicated**, such that they feel longwinded (too many unrelated checks) or burdensome (each check is hard or slow to reason about) 


### Forgetful vs Recorded

As the number of past interactions grow, a point will be reached where players will find it hard to keep all past information in their mind.
Whereas in paper-based inductives players can be expected to take notes, players may expect digital inductive games to take notes for them.

Digital inductives should //at the very least// allow players to replay any particular situation, thus discouraging **forgetfulness**.
At their very best, they'll provide a handy, concise **record** of past interactions that serve as handy test cases (without revealing the underlying rule) for players evaluating new hypotheses.


### Fictional vs Real

Since a deeprer understanding is the result of finishing an inductive game, it is natural to ask: //what// was understood?
By playing a fictional game, you gain a deeper understanding of the game's fantasy world; but in an real game, you are rewarded with a new understanding of (some aspect of) the real world. 


## References

The following game lists partially overlap with those in this article:
Games with concealed rules		[1|https://en.wikipedia.org/wiki/List_of_games_with_concealed_rules]
Induction in board games		[1|https://boardgamegeek.com/boardgamemechanic/3003/induction], [2|https://boardgamegeek.com/geeklist/9188/other-logic-games-use-induction-instead-deduction], [3|https://boardgamegeek.com/boardgamemechanic/3003/induction/linkeditems/boardgamemechanic]
Witnesslikes list				[1|https://itch.io/c/1692312/witnesslikes] 



## Acknowledgments and Changes

**2021-04-14** A rough first draft incorporating feedback from the Thinky Community: thanks @AndreaGilbert, @Zaratusra, @JosephMansfield, @Portponky, @LeSlo, @ClementSparrow, @Kirraluan, @TJM, @MysticSailboat, @TheQwertiest, @JoelFox, @Jcgyo and @JackLance for all the suggestions and resources!
**2022-12-05** Thanks to @knexator for super-early-bird feedback on this list!
**2023-02-05** Thanks to @AdamGashlin for reaching out with additional suggestions!
**2024-02-21** Thanks to @MartinEnder for sending a missing entry and @ChaoticIak, @axcaea, @Genteelman and @KusaneHexaku for additional feedback that led to some clarifications!