Kayles
E637318
Kayles is a classic impartial combinatorial game in which players alternately remove one or two adjacent pins from a row, with the goal of making the last move.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Kayles canonical | 2 |
| Dawson’s Kayles | 1 |
| Dawson’s Kayles is a variant with different adjacency rules | 1 |
| Stomachion | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7031095 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Kayles Context triple: [Part Two: Games, hasWorkExample, Kayles]
-
A.
Conway’s soldiers
Conway’s soldiers is a mathematical puzzle and thought experiment in combinatorial game theory that explores how far checkers-like pieces can advance on an infinite grid under specific movement rules.
-
B.
Tentyris
Tentyris is the ancient Greek name for the Egyptian city of Dendera, renowned for its well-preserved temple complex dedicated primarily to the goddess Hathor.
-
C.
Twixt
Twixt is a 2011 gothic horror film written and directed by Francis Ford Coppola, blending supernatural mystery with a meta-narrative about a struggling writer.
-
D.
Mankal
Mankal was the original settlement that later developed into the historic Golconda Fort area near Hyderabad in India.
-
E.
Le Mat
Le Mat is a surname most notably associated with American actor Paul Le Mat, known for his role in the film "American Graffiti."
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Kayles Target entity description: Kayles is a classic impartial combinatorial game in which players alternately remove one or two adjacent pins from a row, with the goal of making the last move.
-
A.
Conway’s soldiers
Conway’s soldiers is a mathematical puzzle and thought experiment in combinatorial game theory that explores how far checkers-like pieces can advance on an infinite grid under specific movement rules.
-
B.
Tentyris
Tentyris is the ancient Greek name for the Egyptian city of Dendera, renowned for its well-preserved temple complex dedicated primarily to the goddess Hathor.
-
C.
Twixt
Twixt is a 2011 gothic horror film written and directed by Francis Ford Coppola, blending supernatural mystery with a meta-narrative about a struggling writer.
-
D.
Mankal
Mankal was the original settlement that later developed into the historic Golconda Fort area near Hyderabad in India.
-
E.
Le Mat
Le Mat is a surname most notably associated with American actor Paul Le Mat, known for his role in the film "American Graffiti."
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
impartial combinatorial game
ⓘ
mathematical game ⓘ take-and-break game ⓘ |
| analyzedIn |
Sprague–Grundy theory
ⓘ
linked to:
Sprague–Grundy theorem
|
| appearsIn |
On Numbers and Games
ⓘ
Winning Ways for your Mathematical Plays ⓘ |
| boardType | finite row of pins ⓘ |
| decomposesInto | disjoint subgames formed by separated blocks of pins ⓘ |
| doesNotRequire |
chance
ⓘ
hidden information ⓘ |
| firstDescribedIn | early 20th century ⓘ |
| generalizationOf |
Dawson’s Kayles is a variant with different adjacency rules
ⓘ
linked to:
Kayles
|
| hasCategory | impartial normal-play subtraction game ⓘ |
| hasComplexityNote | exact Sprague–Grundy values known for many heap sizes ⓘ |
| hasEndCondition | game ends when no pins remain ⓘ |
| hasGoal | to make the last move ⓘ |
| hasGrundySequence | aperiodic for long initial segment ⓘ |
| hasMoveEffect | removing pins may split the row into two smaller rows ⓘ |
| hasMoveRule |
a player may remove one pin from the row
ⓘ
a player may remove two adjacent pins from the row ⓘ |
| hasNameOrigin | name derived from the game of skittles ⓘ |
| hasNoChanceMoves | true ⓘ |
| hasOctalCode | 0.77 ⓘ |
| hasOptimalPlayOutcome | first player wins for all positive row lengths ⓘ |
| hasOutcomeCondition | player who makes the last legal move wins ⓘ |
| hasPerfectInformation | true ⓘ |
| hasPlayConvention | no passing allowed ⓘ |
| hasPlayerCount | 2 ⓘ |
| hasSymmetryProperty | positions symmetric under reflection of the row ⓘ |
| hasTeachingUse | example game in combinatorial game theory courses ⓘ |
| inventedBy | Henry Dudeney ⓘ |
| isDeterministic | true ⓘ |
| isFinite | true ⓘ |
| isImpartial | true ⓘ |
| isLoopFree | true ⓘ |
| isNormalPlay | true ⓘ |
| isPartOf | combinatorial game theory ⓘ |
| playStructure | normal play convention ⓘ |
| playStructure | players move alternately ⓘ |
| positionRepresentation | row of tokens or pins in a line ⓘ |
| publication | The Strand Magazine ⓘ |
| relatedTo |
Dawson’s Kayles
ⓘ
linked to:
Kayles
Nim ⓘ octal game 0.77 ⓘ |
| requires | logical reasoning ⓘ |
| strategyType | winning strategy depends on heap length modulo pattern ⓘ |
| typicalRepresentation | row of bowling pins ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Kayles Description of subject: Kayles is a classic impartial combinatorial game in which players alternately remove one or two adjacent pins from a row, with the goal of making the last move.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Kayles
linked to: Kayles