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Sankaku-Tori: An Old Western-Japanese Game Played on a Point Set

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Fun with Algorithms (FUN 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8496))

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Abstract

We study a combinatorial game named “sankaku-tori” in Japanese, which means “triangle-taking” in English. It is an old pencil-and-paper game for two players played in Western Japan. The game is played on points on the plane in general position. In each turn, a player adds a line segment to join two points, and the game ends when a triangulation of the point set is completed. The player who completes more triangles than the other wins. In this paper, we consider two restricted variants of this game. In the first variant, the first player always wins in a nontrivial way, and the second variant is NP-complete in general.

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References

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Author information

Authors and Affiliations

  1. Information Technology Center, Saitama University, Japan

    Takashi Horiyama

  2. International College of Arts and Science, Yokohama City University, Japan

    Masashi Kiyomi

  3. Graduate School of Informatics and Engineering, University of Electro-Communications, Japan

    Yoshio Okamoto

  4. School of Information Science, Japan Advanced Institute of Science and Technology, Japan

    Ryuhei Uehara

  5. National Institute of Informatics, Japan

    Takeaki Uno

  6. Graduate School of Science, Osaka Prefecture University, Japan

    Yushi Uno

  7. Graduate School of ISEE, Kyushu University, Japan

    Yukiko Yamauchi

Authors
  1. Takashi Horiyama
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  2. Masashi Kiyomi
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  3. Yoshio Okamoto
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  4. Ryuhei Uehara
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  5. Takeaki Uno
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  6. Yushi Uno
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  7. Yukiko Yamauchi
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Editor information

Editors and Affiliations

  1. Dipartimento di Matematica e Informatica, Città Universitaria, Università degli Studi di Catania, Viale A. Doria, 6, 95125, Catania, Italy

    Alfredo Ferro

  2. Dipartimento di Informatica, Università di Pisa, Largo B. Pontecorvo 3, 56127, Pisa, Italy

    Fabrizio Luccio

  3. Institute of Theoretical Computer Science, ETH Zürich, Universitätsstrasse 6, 8092, Zürich, Switzerland

    Peter Widmayer

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© 2014 Springer International Publishing Switzerland

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Horiyama, T. et al. (2014). Sankaku-Tori: An Old Western-Japanese Game Played on a Point Set. In: Ferro, A., Luccio, F., Widmayer, P. (eds) Fun with Algorithms. FUN 2014. Lecture Notes in Computer Science, vol 8496. Springer, Cham. https://doi.org/10.1007/978-3-319-07890-8_20

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  • DOI: https://doi.org/10.1007/978-3-319-07890-8_20

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07889-2

  • Online ISBN: 978-3-319-07890-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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