Constant neighbor dihedral tilings with 15, 32, and 43 neighbors

Erich Friedman, B.J. van der Zwaag

    Research output: Contribution to journalArticleAcademicpeer-review

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    Abstract

    We consider tilings of the plane. Two tiles are called neighbors if they share at least one boundary point. A tiling is called a constant neighbor tiling if every tile has the same number of neighbors. A tiling of the plane is called monohedral if every tile is congruent, and a tiling is called dihedral if exactly two different tiles are used.
    Original languageUndefined
    Pages (from-to)74-77
    Number of pages4
    JournalGeombinatorics
    VolumeXI
    Issue number3
    Publication statusPublished - Jan 2002

    Keywords

    • EWI-1910
    • IR-43139
    • METIS-205961

    Cite this

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    title = "Constant neighbor dihedral tilings with 15, 32, and 43 neighbors",
    abstract = "We consider tilings of the plane. Two tiles are called neighbors if they share at least one boundary point. A tiling is called a constant neighbor tiling if every tile has the same number of neighbors. A tiling of the plane is called monohedral if every tile is congruent, and a tiling is called dihedral if exactly two different tiles are used.",
    keywords = "EWI-1910, IR-43139, METIS-205961",
    author = "Erich Friedman and {van der Zwaag}, B.J.",
    note = "SAS 004N02",
    year = "2002",
    month = "1",
    language = "Undefined",
    volume = "XI",
    pages = "74--77",
    journal = "Geombinatorics",
    issn = "1065-7371",
    publisher = "University of Colorado",
    number = "3",

    }

    Constant neighbor dihedral tilings with 15, 32, and 43 neighbors. / Friedman, Erich; van der Zwaag, B.J.

    In: Geombinatorics, Vol. XI, No. 3, 01.2002, p. 74-77.

    Research output: Contribution to journalArticleAcademicpeer-review

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    T1 - Constant neighbor dihedral tilings with 15, 32, and 43 neighbors

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    AU - van der Zwaag, B.J.

    N1 - SAS 004N02

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    N2 - We consider tilings of the plane. Two tiles are called neighbors if they share at least one boundary point. A tiling is called a constant neighbor tiling if every tile has the same number of neighbors. A tiling of the plane is called monohedral if every tile is congruent, and a tiling is called dihedral if exactly two different tiles are used.

    AB - We consider tilings of the plane. Two tiles are called neighbors if they share at least one boundary point. A tiling is called a constant neighbor tiling if every tile has the same number of neighbors. A tiling of the plane is called monohedral if every tile is congruent, and a tiling is called dihedral if exactly two different tiles are used.

    KW - EWI-1910

    KW - IR-43139

    KW - METIS-205961

    M3 - Article

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    SP - 74

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    JO - Geombinatorics

    JF - Geombinatorics

    SN - 1065-7371

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    ER -