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Phutball: Rules, Computational complexity & Overview

Phutball (short for Philosopher's Football) is a two-player abstract strategy board game described in Elwyn Berlekamp, John Horton Conway, and Richard K. Guy's Winning Ways for your Mathematical Plays.

Language: English [EN]
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Phutball topic overview

The analysis highlights Rules, Computational complexity and Overview as prominent areas in the source structure around Phutball.

Related topics
10
Source areas
3
Connected nodes
13
Extracted relationships
17
Concept neighborhoods
6
Bridge connections
13

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 6 topics
Computational complexity · 2 topics
Rules · 2 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Rules

Computational complexity

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How Phutball connects Entity context

The extracted context around Phutball shows recurring relationship patterns in the source. For example, Phutball → Cambridge Univ, Grossman, More Games, MSRI Publications, No Chance, Nowakowski, One-Dimensional Phutball, PDF, Press, Richard Another extracted example is Phutball → As, Eks, Go, In, Ohs, Rows, The. Use these groups to spot repeated connection types before inspecting the individual relationships.

Phutball

Top relations

related to Further reading · 10
Phutball → Cambridge Univ, Grossman, More Games, MSRI Publications, No Chance, Nowakowski, One-Dimensional Phutball, PDF, Press, Richard
related to Rules · 7
Phutball → As, Eks, Go, In, Ohs, Rows, The

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

football men board 19 ohs move game strategy jump removed one white stone goal line player moves man jumps winning

Phutball relationships Subject–Predicate–Object triples

TTTA extracted 17 structured relationships around Phutball. Examples in this analysis include Phutball → related to Further reading → Grossman and Phutball → related to Further reading → Nowakowski. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Phutballrelated to Further readingGrossman0.60section
Phutballrelated to Further readingNowakowski0.60section
Phutballrelated to Further readingRichard0.60section
Phutballrelated to Further readingOne-Dimensional Phutball0.60section
Phutballrelated to Further readingPDF0.60section
Phutballrelated to Further readingMore Games0.60section
Phutballrelated to Further readingNo Chance0.60section
Phutballrelated to Further readingMSRI Publications0.60section
Phutballrelated to Further readingCambridge Univ0.60section
Phutballrelated to Further readingPress0.60section
Phutballrelated to RulesIn0.60section
Phutballrelated to RulesOhs0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around Phutball bring nearby vocabulary together. In this analysis, examples include Richard, Black and Played. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • board game
    • Game
    • Goal
    • One
    • Phutball
    • Whether
    • Stone
    • Strategy
    • White
    • Placed
    • Richard
    • Usually
    • Black
  • Phutball
    • Richard
    • Black
    • Played
    • Stones
    • Stone
    • Strategy
    • White
    • Game
    • Board
    • Using
    • Usually
    • One
  • phutball
    • Richard
    • Black
    • Played
    • Stones
    • Stone
    • Strategy
    • White
    • Game
    • Board
    • Using
    • Usually
    • One
  • abstract strategy
    • Whether
    • Winning
    • Player
    • Stone
    • White
    • Placed
    • Using
    • Black
    • Players
    • Stones
    • One
  • winning ways for your mathematical plays
    • Whether
    • Player
    • Strategy
    • Placed
    • Players
    • Stone
    • White
    • Board
  • richard k. guy
    • Strategy

Connections between topic areas Semantic bridges

For Phutball, one of the stronger structural bridges in this analysis connects Phutball with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
PhutballOverview · splits 7 ⟂ 7
PhutballRules · splits 11 ⟂ 3
PhutballComputational complexity · splits 11 ⟂ 3

Map overview Semantic statistics

Phutball

Nodes14
Edges13
Triples17
Avg. degree1.86
Density0.142857
Components1

Source & methodology

TTTA analyzes the structure around Phutball to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Rules, Computational complexity & Overview, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Phutball · EN edition · Analysis: TopicsToTalkAbout

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